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113253000 = 2335375393
BaseRepresentation
bin1101100000000…
…01101010001000
321220002211220120
412300001222020
5212443044000
615123223240
72543430450
oct660015210
9256084816
10113253000
1158a23723
1231b17b20
131a603c13
1411080d60
159e216a0
hex6c01a88

113253000 has 128 divisors (see below), whose sum is σ = 403902720. Its totient is φ = 25881600.

The previous prime is 113252999. The next prime is 113253001. The reversal of 113253000 is 352311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113252999) and next prime (113253001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113253001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18304 + ... + 23696.

It is an arithmetic number, because the mean of its divisors is an integer number (3155490).

Almost surely, 2113253000 is an apocalyptic number.

113253000 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 113253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201951360).

113253000 is an abundant number, since it is smaller than the sum of its proper divisors (290649720).

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

113253000 is a wasteful number, since it uses less digits than its factorization.

113253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 113253000 is about 10642.0392782587. The cubic root of 113253000 is about 483.8193552117.

The spelling of 113253000 in words is "one hundred thirteen million, two hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 5393 7000 10500 10786 16179 21000 21572 26965 32358 37751 43144 53930 64716 75502 80895 107860 113253 129432 134825 151004 161790 188755 215720 226506 269650 302008 323580 377510 404475 453012 539300 566265 647160 674125 755020 808950 906024 943775 1078600 1132530 1348250 1510040 1617900 1887550 2022375 2265060 2696500 2831325 3235800 3775100 4044750 4530120 4718875 5393000 5662650 7550200 8089500 9437750 11325300 14156625 16179000 18875500 22650600 28313250 37751000 56626500 113253000