Search a number
-
+
115974456 = 233133311123
BaseRepresentation
bin1101110100110…
…10000100111000
322002020010001020
412322122010320
5214142140311
615301422440
72605523643
oct672320470
9262203036
10115974456
115a512364
1232a0aa20
131b047850
141158ca5a
15a2acc06
hex6e9a138

115974456 has 64 divisors (see below), whose sum is σ = 313461120. Its totient is φ = 35544960.

The previous prime is 115974437. The next prime is 115974479. The reversal of 115974456 is 654479511.

It is a congruent number.

It is an unprimeable number.

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, 102711 + ... + 103833.

It is an arithmetic number, because the mean of its divisors is an integer number (4897830).

Almost surely, 2115974456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115974456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156730560).

115974456 is an abundant number, since it is smaller than the sum of its proper divisors (197486664).

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

115974456 is a wasteful number, since it uses less digits than its factorization.

115974456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1472 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 115974456 is about 10769.1436985491. The cubic root of 115974456 is about 487.6640951858.

The spelling of 115974456 in words is "one hundred fifteen million, nine hundred seventy-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 331 662 993 1123 1324 1986 2246 2648 3369 3972 4303 4492 6738 7944 8606 8984 12909 13476 14599 17212 25818 26952 29198 34424 43797 51636 58396 87594 103272 116792 175188 350376 371713 743426 1115139 1486852 2230278 2973704 4460556 4832269 8921112 9664538 14496807 19329076 28993614 38658152 57987228 115974456