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1142755640 = 2351317257503
BaseRepresentation
bin100010000011101…
…0001000100111000
32221122022000000222
41010013101010320
54320021140030
6305221115212
740214156045
oct10407210470
92848260028
101142755640
11537068254
1227a858b08
131529a0890
14abaac1cc
156a4ce3e5
hex441d1138

1142755640 has 128 divisors (see below), whose sum is σ = 2949125760. Its totient is φ = 394788864.

The previous prime is 1142755609. The next prime is 1142755711. The reversal of 1142755640 is 465572411.

It is a self number, because there is not a number n which added to its sum of digits gives 1142755640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2271629 + ... + 2272131.

It is an arithmetic number, because the mean of its divisors is an integer number (23040045).

Almost surely, 21142755640 is an apocalyptic number.

1142755640 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 1142755640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474562880).

1142755640 is an abundant number, since it is smaller than the sum of its proper divisors (1806370120).

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

1142755640 is a wasteful number, since it uses less digits than its factorization.

1142755640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 1142755640 is about 33804.6689083032. The cubic root of 1142755640 is about 1045.4849637343.

The spelling of 1142755640 in words is "one billion, one hundred forty-two million, seven hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 257 260 340 442 503 514 520 680 884 1006 1028 1105 1285 1768 2012 2056 2210 2515 2570 3341 4024 4369 4420 5030 5140 6539 6682 8551 8738 8840 10060 10280 13078 13364 16705 17102 17476 20120 21845 26156 26728 32695 33410 34204 34952 42755 43690 52312 56797 65390 66820 68408 85510 87380 111163 113594 129271 130780 133640 171020 174760 222326 227188 258542 261560 283985 342040 444652 454376 517084 555815 567970 646355 889304 1034168 1111630 1135940 1292710 1680523 2197607 2223260 2271880 2585420 3361046 4395214 4446520 5170840 6722092 8402615 8790428 10988035 13444184 16805230 17580856 21976070 28568891 33610460 43952140 57137782 67220920 87904280 114275564 142844455 228551128 285688910 571377820 1142755640