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1138895640 = 233453471013
BaseRepresentation
bin100001111100010…
…0010101100011000
32221101000220010000
41003320202230120
54313024130030
6305002253000
740136311311
oct10370425430
92841026100
101138895640
11534971173
122794b7160
13151c4b95c
14ab385608
1569eba860
hex43e22b18

1138895640 has 160 divisors (see below), whose sum is σ = 3842776080. Its totient is φ = 302531328.

The previous prime is 1138895629. The next prime is 1138895647. The reversal of 1138895640 is 465988311.

1138895640 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 89 + 564 + 0 = 666.

It is a super-2 number, since 2×11388956402 = 2594166557622019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138895647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1123774 + ... + 1124786.

Almost surely, 21138895640 is an apocalyptic number.

1138895640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138895640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921388040).

1138895640 is an abundant number, since it is smaller than the sum of its proper divisors (2703880440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1138895640 is a wasteful number, since it uses less digits than its factorization.

1138895640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1138895640 is about 33747.5279094632. The cubic root of 1138895640 is about 1044.3064894833.

The spelling of 1138895640 in words is "one billion, one hundred thirty-eight million, eight hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 347 360 405 540 648 694 810 1013 1041 1080 1388 1620 1735 2026 2082 2776 3039 3123 3240 3470 4052 4164 5065 5205 6078 6246 6940 8104 8328 9117 9369 10130 10410 12156 12492 13880 15195 15615 18234 18738 20260 20820 24312 24984 27351 28107 30390 31230 36468 37476 40520 41640 45585 46845 54702 56214 60780 62460 72936 74952 82053 91170 93690 109404 112428 121560 124920 136755 140535 164106 182340 187380 218808 224856 273510 281070 328212 351511 364680 374760 410265 547020 562140 656424 703022 820530 1054533 1094040 1124280 1406044 1641060 1757555 2109066 2812088 3163599 3282120 3515110 4218132 5272665 6327198 7030220 8436264 9490797 10545330 12654396 14060440 15817995 18981594 21090660 25308792 28472391 31635990 37963188 42181320 47453985 56944782 63271980 75926376 94907970 113889564 126543960 142361955 189815940 227779128 284723910 379631880 569447820 1138895640