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113465000 = 2354112063
BaseRepresentation
bin1101100001101…
…01011010101000
321220111121201102
412300311122220
5213021340000
615131540532
72545302515
oct660653250
9256447642
10113465000
1159058a30
1231bba748
131a67956c
14110d830c
159e643d5
hex6c356a8

113465000 has 80 divisors (see below), whose sum is σ = 290157120. Its totient is φ = 41240000.

The previous prime is 113464993. The next prime is 113465059. The reversal of 113465000 is 564311.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53969 + ... + 56031.

It is an arithmetic number, because the mean of its divisors is an integer number (3626964).

Almost surely, 2113465000 is an apocalyptic number.

113465000 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 113465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145078560).

113465000 is an abundant number, since it is smaller than the sum of its proper divisors (176692120).

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

113465000 is a wasteful number, since it uses less digits than its factorization.

113465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 113465000 is about 10651.9951182865. The cubic root of 113465000 is about 484.1210566212.

The spelling of 113465000 in words is "one hundred thirteen million, four hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2063 2200 2500 2750 4126 5000 5500 6875 8252 10315 11000 13750 16504 20630 22693 27500 41260 45386 51575 55000 82520 90772 103150 113465 181544 206300 226930 257875 412600 453860 515750 567325 907720 1031500 1134650 1289375 2063000 2269300 2578750 2836625 4538600 5157500 5673250 10315000 11346500 14183125 22693000 28366250 56732500 113465000