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1138588020 = 2232512749807
BaseRepresentation
bin100001111011101…
…0111100101110100
32221100110021010200
41003313113211310
54312434304040
6304551520500
740133560413
oct10367274564
92840407120
101138588020
11534781039
12279389130
13151b7192b
14ab30547a
1569e59630
hex43dd7974

1138588020 has 72 divisors (see below), whose sum is σ = 3480981504. Its totient is φ = 301226688.

The previous prime is 1138588007. The next prime is 1138588027. The reversal of 1138588020 is 208858311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138588027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2044 + ... + 47763.

Almost surely, 21138588020 is an apocalyptic number.

1138588020 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 1138588020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740490752).

1138588020 is an abundant number, since it is smaller than the sum of its proper divisors (2342393484).

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

1138588020 is a wasteful number, since it uses less digits than its factorization.

1138588020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49949 (or 49944 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1138588020 is about 33742.9699344915. The cubic root of 1138588020 is about 1044.2124573118.

The spelling of 1138588020 in words is "one billion, one hundred thirty-eight million, five hundred eighty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 49807 99614 149421 199228 249035 298842 448263 498070 597684 747105 896526 996140 1494210 1793052 2241315 2988420 4482630 6325489 8965260 12650978 18976467 25301956 31627445 37952934 56929401 63254890 75905868 94882335 113858802 126509780 189764670 227717604 284647005 379529340 569294010 1138588020