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116457984 = 2932127199
BaseRepresentation
bin1101111000100…
…00001000000000
322010010200022200
412330100020000
5214303123414
615320033200
72612606436
oct674201000
9263120280
10116457984
115a812675
1233002800
131b186966
1411676d56
15a356109
hex6f10200

116457984 has 120 divisors (see below), whose sum is σ = 340454400. Its totient is φ = 38320128.

The previous prime is 116457961. The next prime is 116457989. The reversal of 116457984 is 489754611.

116457984 is a `hidden beast` number, since 11 + 64 + 579 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116457989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585117 + ... + 585315.

It is an arithmetic number, because the mean of its divisors is an integer number (2837120).

Almost surely, 2116457984 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 116457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170227200).

116457984 is an abundant number, since it is smaller than the sum of its proper divisors (223996416).

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

116457984 is a wasteful number, since it uses less digits than its factorization.

116457984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 116457984 is about 10791.5700433255. The cubic root of 116457984 is about 488.3408887565.

The spelling of 116457984 in words is "one hundred sixteen million, four hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 199 254 256 288 381 384 398 508 512 576 597 762 768 796 1016 1143 1152 1194 1524 1536 1592 1791 2032 2286 2304 2388 3048 3184 3582 4064 4572 4608 4776 6096 6368 7164 8128 9144 9552 12192 12736 14328 16256 18288 19104 24384 25273 25472 28656 32512 36576 38208 48768 50546 50944 57312 65024 73152 75819 76416 97536 101092 101888 114624 146304 151638 152832 195072 202184 227457 229248 292608 303276 305664 404368 454914 458496 585216 606552 808736 909828 916992 1213104 1617472 1819656 2426208 3234944 3639312 4852416 6469888 7278624 9704832 12939776 14557248 19409664 29114496 38819328 58228992 116457984