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115769640 = 23357283487
BaseRepresentation
bin1101110011010…
…00000100101000
322001211201002110
412321220010220
5214114112030
615253202320
72604011550
oct671500450
9261751073
10115769640
115a392498
12329303a0
131aca555c
1411538160
15a26c1b0
hex6e68128

115769640 has 128 divisors (see below), whose sum is σ = 399144960. Its totient is φ = 26313984.

The previous prime is 115769629. The next prime is 115769683. The reversal of 115769640 is 46967511.

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, 237477 + ... + 237963.

It is an arithmetic number, because the mean of its divisors is an integer number (3118320).

Almost surely, 2115769640 is an apocalyptic number.

115769640 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 115769640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199572480).

115769640 is an abundant number, since it is smaller than the sum of its proper divisors (283375320).

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

115769640 is a wasteful number, since it uses less digits than its factorization.

115769640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 115769640 is about 10759.6301051663. The cubic root of 115769640 is about 487.3768472611.

The spelling of 115769640 in words is "one hundred fifteen million, seven hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 283 420 487 566 840 849 974 1132 1415 1461 1698 1948 1981 2264 2435 2830 2922 3396 3409 3896 3962 4245 4870 5660 5844 5943 6792 6818 7305 7924 8490 9740 9905 10227 11320 11688 11886 13636 14610 15848 16980 17045 19480 19810 20454 23772 27272 29220 29715 33960 34090 39620 40908 47544 51135 58440 59430 68180 79240 81816 102270 118860 136360 137821 204540 237720 275642 409080 413463 551284 689105 826926 964747 1102568 1378210 1653852 1929494 2067315 2756420 2894241 3307704 3858988 4134630 4823735 5512840 5788482 7717976 8269260 9647470 11576964 14471205 16538520 19294940 23153928 28942410 38589880 57884820 115769640