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113674000 = 2453115167
BaseRepresentation
bin1101100011010…
…00011100010000
321220220020102011
412301220130100
5213100032000
615140232304
72550133036
oct661503420
9256806364
10113674000
1159190a60
123209b694
131a72072b
1411150556
159ea62ba
hex6c68710

113674000 has 80 divisors (see below), whose sum is σ = 299909376. Its totient is φ = 41328000.

The previous prime is 113673991. The next prime is 113674003. The reversal of 113674000 is 476311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (113674003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19417 + ... + 24583.

Almost surely, 2113674000 is an apocalyptic number.

113674000 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 113674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149954688).

113674000 is an abundant number, since it is smaller than the sum of its proper divisors (186235376).

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

113674000 is a wasteful number, since it uses less digits than its factorization.

113674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 113674000 is about 10661.8009735691. The cubic root of 113674000 is about 484.4181210310.

The spelling of 113674000 in words is "one hundred thirteen million, six hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5167 5500 10334 11000 20668 22000 25835 41336 51670 56837 82672 103340 113674 129175 206680 227348 258350 284185 413360 454696 516700 568370 645875 909392 1033400 1136740 1291750 1420925 2066800 2273480 2583500 2841850 4546960 5167000 5683700 7104625 10334000 11367400 14209250 22734800 28418500 56837000 113674000