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272120250 = 23531572311
BaseRepresentation
bin10000001110000…
…011100110111010
3200222001010210210
4100032003212322
51024130322000
643000251550
76512661333
oct2016034672
9628033723
10272120250
1112a671a76
1277170bb6
13444b8bcc
14281d728a
1518d53350
hex103839ba

272120250 has 64 divisors (see below), whose sum is σ = 683834112. Its totient is φ = 72072000.

The previous prime is 272120249. The next prime is 272120257. The reversal of 272120250 is 52021272.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (272120257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116595 + ... + 118905.

It is an arithmetic number, because the mean of its divisors is an integer number (10684908).

Almost surely, 2272120250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272120250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341917056).

272120250 is an abundant number, since it is smaller than the sum of its proper divisors (411713862).

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

272120250 is a wasteful number, since it uses less digits than its factorization.

272120250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 272120250 is about 16496.0677132461. The cubic root of 272120250 is about 648.0178273940.

The spelling of 272120250 in words is "two hundred seventy-two million, one hundred twenty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 157 250 314 375 471 750 785 942 1570 2311 2355 3925 4622 4710 6933 7850 11555 11775 13866 19625 23110 23550 34665 39250 57775 58875 69330 115550 117750 173325 288875 346650 362827 577750 725654 866625 1088481 1733250 1814135 2176962 3628270 5442405 9070675 10884810 18141350 27212025 45353375 54424050 90706750 136060125 272120250