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235390720 = 2851731063
BaseRepresentation
bin11100000011111…
…00011100000000
3121101221002100211
432001330130000
5440230000340
635205123504
75555534215
oct1601743400
9541832324
10235390720
11110965594
12669b9594
13399c8b66
1423395b0c
15159ea5ea
hexe07c700

235390720 has 72 divisors (see below), whose sum is σ = 567626976. Its totient is φ = 93523968.

The previous prime is 235390699. The next prime is 235390759. The reversal of 235390720 is 27093532.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 220909 + ... + 221971.

It is an arithmetic number, because the mean of its divisors is an integer number (7883708).

Almost surely, 2235390720 is an apocalyptic number.

235390720 is a gapful number since it is divisible by the number (20) 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 235390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283813488).

235390720 is an abundant number, since it is smaller than the sum of its proper divisors (332236256).

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

235390720 is a wasteful number, since it uses less digits than its factorization.

235390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 235390720 is about 15342.4483052738. The cubic root of 235390720 is about 617.4423949279.

The spelling of 235390720 in words is "two hundred thirty-five million, three hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 173 256 320 346 640 692 865 1063 1280 1384 1730 2126 2768 3460 4252 5315 5536 6920 8504 10630 11072 13840 17008 21260 22144 27680 34016 42520 44288 55360 68032 85040 110720 136064 170080 183899 221440 272128 340160 367798 680320 735596 919495 1360640 1471192 1838990 2942384 3677980 5884768 7355960 11769536 14711920 23539072 29423840 47078144 58847680 117695360 235390720