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113950000 = 24554353
BaseRepresentation
bin1101100101010…
…11110100110000
321221102021000101
412302223310300
5213132400000
615150202144
72552362513
oct662536460
9257367011
10113950000
115935a35a
12321b3354
131a7b9248
14111c2d7a
15a00ce6a
hex6cabd30

113950000 has 120 divisors (see below), whose sum is σ = 287700336. Its totient is φ = 43680000.

The previous prime is 113949989. The next prime is 113950003. The reversal of 113950000 is 59311.

It is a self number, because there is not a number n which added to its sum of digits gives 113950000.

It is not an unprimeable number, because it can be changed into a prime (113950003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2149974 + ... + 2150026.

Almost surely, 2113950000 is an apocalyptic number.

113950000 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 113950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143850168).

113950000 is an abundant number, since it is smaller than the sum of its proper divisors (173750336).

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

113950000 is an frugal number, since it uses more digits than its factorization.

113950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 113950000 is about 10674.7365307065. The cubic root of 113950000 is about 484.8098592178.

The spelling of 113950000 in words is "one hundred thirteen million, nine hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 53 80 86 100 106 125 172 200 212 215 250 265 344 400 424 430 500 530 625 688 848 860 1000 1060 1075 1250 1325 1720 2000 2120 2150 2279 2500 2650 3125 3440 4240 4300 4558 5000 5300 5375 6250 6625 8600 9116 10000 10600 10750 11395 12500 13250 17200 18232 21200 21500 22790 25000 26500 26875 33125 36464 43000 45580 50000 53000 53750 56975 66250 86000 91160 106000 107500 113950 132500 134375 165625 182320 215000 227900 265000 268750 284875 331250 430000 455800 530000 537500 569750 662500 911600 1075000 1139500 1325000 1424375 2150000 2279000 2650000 2848750 4558000 5697500 7121875 11395000 14243750 22790000 28487500 56975000 113950000