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272130800 = 2452680327
BaseRepresentation
bin10000001110000…
…110001011110000
3200222001200021112
4100032012023300
51024131141200
643000412452
76513034154
oct2016061360
9628050245
10272130800
1112a679997
1277177128
13444c0956
14281db064
1518d56535
hex103862f0

272130800 has 30 divisors (see below), whose sum is σ = 653795208. Its totient is φ = 108852160.

The previous prime is 272130763. The next prime is 272130811. The reversal of 272130800 is 8031272.

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 5 ways as a sum of consecutive naturals, for example, 339764 + ... + 340563.

Almost surely, 2272130800 is an apocalyptic number.

272130800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272130800 is an abundant number, since it is smaller than the sum of its proper divisors (381664408).

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

272130800 is a wasteful number, since it uses less digits than its factorization.

272130800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680345 (or 680334 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 272130800 is about 16496.3874833249. The cubic root of 272130800 is about 648.0262017551.

It can be divided in two parts, 272 and 130800, that added together give a 17-th power (131072 = 217).

The spelling of 272130800 in words is "two hundred seventy-two million, one hundred thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 680327 1360654 2721308 3401635 5442616 6803270 10885232 13606540 17008175 27213080 34016350 54426160 68032700 136065400 272130800