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113428000 = 255374051
BaseRepresentation
bin1101100001011…
…00011000100000
321220102201222001
412300230120200
5213014144000
615131053344
72545056610
oct660543040
9256381861
10113428000
1159033154
1231ba1254
131a66577a
14110c8a40
159e5846a
hex6c2c620

113428000 has 96 divisors (see below), whose sum is σ = 318584448. Its totient is φ = 38880000.

The previous prime is 113427991. The next prime is 113428001. The reversal of 113428000 is 824311.

It is a super-2 number, since 2×1134280002 = 25731822368000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113428001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25975 + ... + 30025.

It is an arithmetic number, because the mean of its divisors is an integer number (3318588).

Almost surely, 2113428000 is an apocalyptic number.

113428000 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 113428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159292224).

113428000 is an abundant number, since it is smaller than the sum of its proper divisors (205156448).

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

113428000 is an equidigital number, since it uses as much as digits as its factorization.

113428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 113428000 is about 10650.2582128322. The cubic root of 113428000 is about 484.0684282733.

The spelling of 113428000 in words is "one hundred thirteen million, four hundred twenty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 4051 5600 7000 8102 14000 16204 20255 28000 28357 32408 40510 56714 64816 81020 101275 113428 129632 141785 162040 202550 226856 283570 324080 405100 453712 506375 567140 648160 708925 810200 907424 1012750 1134280 1417850 1620400 2025500 2268560 2835700 3240800 3544625 4051000 4537120 5671400 7089250 8102000 11342800 14178500 16204000 22685600 28357000 56714000 113428000