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115944640 = 2657191271
BaseRepresentation
bin1101110100100…
…10110011000000
322002011121010221
412322102303000
5214140212030
615301032424
72605341010
oct672226300
9262147127
10115944640
115a4a1a19
12329b5714
131b0370c6
1411581c40
15a2a3e7a
hex6e92cc0

115944640 has 112 divisors (see below), whose sum is σ = 318357504. Its totient is φ = 39398400.

The previous prime is 115944611. The next prime is 115944677. The reversal of 115944640 is 46449511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 115944596 and 115944605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427705 + ... + 427975.

Almost surely, 2115944640 is an apocalyptic number.

115944640 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 115944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159178752).

115944640 is an abundant number, since it is smaller than the sum of its proper divisors (202412864).

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

115944640 is a wasteful number, since it uses less digits than its factorization.

115944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 115944640 is about 10767.7592840851. The cubic root of 115944640 is about 487.6223002383.

The spelling of 115944640 in words is "one hundred fifteen million, nine hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 191 224 271 280 320 382 448 542 560 764 955 1084 1120 1337 1355 1528 1897 1910 2168 2240 2674 2710 3056 3794 3820 4336 5348 5420 6112 6685 7588 7640 8672 9485 10696 10840 12224 13370 15176 15280 17344 18970 21392 21680 26740 30352 30560 37940 42784 43360 51761 53480 60704 61120 75880 85568 86720 103522 106960 121408 151760 207044 213920 258805 303520 362327 414088 427840 517610 607040 724654 828176 1035220 1449308 1656352 1811635 2070440 2898616 3312704 3623270 4140880 5797232 7246540 8281760 11594464 14493080 16563520 23188928 28986160 57972320 115944640