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272211040 = 2555233253
BaseRepresentation
bin10000001110011…
…001110001100000
3200222012202100101
4100032121301200
51024141223130
643002232144
76513520123
oct2016316140
9628182311
10272211040
1112a724202
12771b5654
134451b32a
142821c3ba
1518d701ca
hex10399c60

272211040 has 48 divisors (see below), whose sum is σ = 644526288. Its totient is φ = 108642816.

The previous prime is 272211029. The next prime is 272211061. The reversal of 272211040 is 40112272.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 272210999 and 272211017.

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, 82054 + ... + 85306.

It is an arithmetic number, because the mean of its divisors is an integer number (13427631).

Almost surely, 2272211040 is an apocalyptic number.

272211040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272211040 is an abundant number, since it is smaller than the sum of its proper divisors (372315248).

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

272211040 is a wasteful number, since it uses less digits than its factorization.

272211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 272211040 is about 16498.8193516991. The cubic root of 272211040 is about 648.0898874443.

The spelling of 272211040 in words is "two hundred seventy-two million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 523 1046 2092 2615 3253 4184 5230 6506 8368 10460 13012 16265 16736 20920 26024 32530 41840 52048 65060 83680 104096 130120 260240 520480 1701319 3402638 6805276 8506595 13610552 17013190 27221104 34026380 54442208 68052760 136105520 272211040