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116924580 = 22335293739
BaseRepresentation
bin1101111100000…
…10000010100100
322011000101101000
412332002002210
5214413041310
615334033300
72616561663
oct676020244
9264011330
10116924580
1160001193
12331a8830
131b2bb156
1411758dda
15a3e94c0
hex6f820a4

116924580 has 96 divisors (see below), whose sum is σ = 365500800. Its totient is φ = 31031424.

The previous prime is 116924573. The next prime is 116924629. The reversal of 116924580 is 85429611.

116924580 is a `hidden beast` number, since 11 + 69 + 2 + 4 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 157851 + ... + 158589.

It is an arithmetic number, because the mean of its divisors is an integer number (3807300).

Almost surely, 2116924580 is an apocalyptic number.

116924580 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 116924580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182750400).

116924580 is an abundant number, since it is smaller than the sum of its proper divisors (248576220).

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

116924580 is a wasteful number, since it uses less digits than its factorization.

116924580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 116924580 is about 10813.1669736484. The cubic root of 116924580 is about 488.9922088412.

The spelling of 116924580 in words is "one hundred sixteen million, nine hundred twenty-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 293 540 586 739 879 1172 1465 1478 1758 2217 2637 2930 2956 3516 3695 4395 4434 5274 5860 6651 7390 7911 8790 8868 10548 11085 13185 13302 14780 15822 17580 19953 22170 26370 26604 31644 33255 39555 39906 44340 52740 66510 79110 79812 99765 133020 158220 199530 216527 399060 433054 649581 866108 1082635 1299162 1948743 2165270 2598324 3247905 3897486 4330540 5846229 6495810 7794972 9743715 11692458 12991620 19487430 23384916 29231145 38974860 58462290 116924580