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115604028 = 2232612863
BaseRepresentation
bin1101110001111…
…11101000111100
322001112021220200
412320333220330
5214043312103
615245443500
72602421661
oct670775074
9261467820
10115604028
115a28a021
1232870590
131ac48067
14114d3a68
15a2380a3
hex6e3fa3c

115604028 has 54 divisors (see below), whose sum is σ = 297434592. Its totient is φ = 37859040.

The previous prime is 115604023. The next prime is 115604033. The reversal of 115604028 is 820406511.

It is an interprime number because it is at equal distance from previous prime (115604023) and next prime (115604033).

It is a super-3 number, since 3×1156040283 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115603992 and 115604010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115604023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 133525 + ... + 134387.

It is an arithmetic number, because the mean of its divisors is an integer number (5508048).

Almost surely, 2115604028 is an apocalyptic number.

115604028 is a gapful number since it is divisible by the number (18) 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 115604028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148717296).

115604028 is an abundant number, since it is smaller than the sum of its proper divisors (181830564).

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

115604028 is a wasteful number, since it uses less digits than its factorization.

115604028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 115604028 is about 10751.9313613881. The cubic root of 115604028 is about 487.1443338731.

The spelling of 115604028 in words is "one hundred fifteen million, six hundred four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 863 1098 1726 2196 2589 3452 3721 5178 7442 7767 10356 11163 14884 15534 22326 31068 33489 44652 52643 66978 105286 133956 157929 210572 315858 473787 631716 947574 1895148 3211223 6422446 9633669 12844892 19267338 28901007 38534676 57802014 115604028