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10714272 = 253233479
BaseRepresentation
bin101000110111…
…110010100000
3202011100012220
4220313302200
510220324042
61021351040
7160032642
oct50676240
922140186
1010714272
116058878
123708480
1322b1a0a
1415cc892
15e198ec
hexa37ca0

10714272 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 3548672.

The previous prime is 10714247. The next prime is 10714279. The reversal of 10714272 is 27241701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×107142722 = 229591248979968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10714279) by changing a digit.

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, 22129 + ... + 22607.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 210714272 is an apocalyptic number.

10714272 is a gapful number since it is divisible by the number (12) 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 10714272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

10714272 is an abundant number, since it is smaller than the sum of its proper divisors (17590368).

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

10714272 is a wasteful number, since it uses less digits than its factorization.

10714272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 10714272 is about 3273.2662586475. The cubic root of 10714272 is about 220.4554750931.

Adding to 10714272 its reverse (27241701), we get a palindrome (37955973).

The spelling of 10714272 in words is "ten million, seven hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 479 699 932 958 1398 1437 1864 1916 2796 2874 3728 3832 5592 5748 7456 7664 11184 11496 15328 22368 22992 45984 111607 223214 334821 446428 669642 892856 1339284 1785712 2678568 3571424 5357136 10714272