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116037920 = 25517371153
BaseRepresentation
bin1101110101010…
…01100100100000
322002100100002202
412322221210200
5214201203140
615303032332
72606206655
oct672514440
9262310082
10116037920
115a556009
1232a3b6a8
131b06a6bb
14115a7c2c
15a2c1915
hex6ea9920

116037920 has 96 divisors (see below), whose sum is σ = 298369008. Its totient is φ = 42467328.

The previous prime is 116037919. The next prime is 116037941. The reversal of 116037920 is 29730611.

It can be written as a sum of positive squares in 8 ways, for example, as 104121616 + 11916304 = 10204^2 + 3452^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100064 + ... + 101216.

Almost surely, 2116037920 is an apocalyptic number.

116037920 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 116037920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149184504).

116037920 is an abundant number, since it is smaller than the sum of its proper divisors (182331088).

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

116037920 is a wasteful number, since it uses less digits than its factorization.

116037920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 116037920 is about 10772.0898622319. The cubic root of 116037920 is about 487.7530327891.

The spelling of 116037920 in words is "one hundred sixteen million, thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 68 74 80 85 136 148 160 170 185 272 296 340 370 544 592 629 680 740 1153 1184 1258 1360 1480 2306 2516 2720 2960 3145 4612 5032 5765 5920 6290 9224 10064 11530 12580 18448 19601 20128 23060 25160 36896 39202 42661 46120 50320 78404 85322 92240 98005 100640 156808 170644 184480 196010 213305 313616 341288 392020 426610 627232 682576 725237 784040 853220 1365152 1450474 1568080 1706440 2900948 3136160 3412880 3626185 5801896 6825760 7252370 11603792 14504740 23207584 29009480 58018960 116037920