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115311040 = 2651353523
BaseRepresentation
bin1101101111110…
…00000111000000
322000222102000021
412313320013000
5214004423130
615235303224
72600061535
oct667700700
9260872007
10115311040
115a0a9989
123274ab14
131ab748b0
1411458d8c
15a1cb37a
hex6df81c0

115311040 has 112 divisors (see below), whose sum is σ = 301861728. Its totient is φ = 41693184.

The previous prime is 115310977. The next prime is 115311043. The reversal of 115311040 is 40113511.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115311043) 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 15 ways as a sum of consecutive naturals, for example, 220219 + ... + 220741.

It is an arithmetic number, because the mean of its divisors is an integer number (2695194).

Almost surely, 2115311040 is an apocalyptic number.

115311040 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 115311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150930864).

115311040 is an abundant number, since it is smaller than the sum of its proper divisors (186550688).

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

115311040 is a wasteful number, since it uses less digits than its factorization.

115311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 115311040 is about 10738.2978166933. The cubic root of 115311040 is about 486.7324445608.

Adding to 115311040 its reverse (40113511), we get a palindrome (155424551).

The spelling of 115311040 in words is "one hundred fifteen million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 64 65 80 104 106 130 160 208 212 260 265 320 416 424 520 523 530 689 832 848 1040 1046 1060 1378 1696 2080 2092 2120 2615 2756 3392 3445 4160 4184 4240 5230 5512 6799 6890 8368 8480 10460 11024 13598 13780 16736 16960 20920 22048 27196 27560 27719 33472 33995 41840 44096 54392 55120 55438 67990 83680 108784 110240 110876 135980 138595 167360 217568 220480 221752 271960 277190 360347 435136 443504 543920 554380 720694 887008 1087840 1108760 1441388 1774016 1801735 2175680 2217520 2882776 3603470 4435040 5765552 7206940 8870080 11531104 14413880 23062208 28827760 57655520 115311040