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10714872 = 2337234759
BaseRepresentation
bin101000110111…
…111011111000
3202011101001010
4220313323320
510220333442
61021353520
7160034460
oct50677370
922141033
1010714872
116059273
1237088a0
1322b207c
1415ccba0
15e19b9c
hexa37ef8

10714872 has 128 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 2817408.

The previous prime is 10714861. The next prime is 10714877. The reversal of 10714872 is 27841701.

It is a super-2 number, since 2×107148722 = 229616963952768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10714877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181579 + ... + 181637.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 210714872 is an apocalyptic number.

10714872 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 10714872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

10714872 is an abundant number, since it is smaller than the sum of its proper divisors (22462728).

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

10714872 is a wasteful number, since it uses less digits than its factorization.

10714872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 10714872 is about 3273.3579089369. The cubic root of 10714872 is about 220.4595901904.

The spelling of 10714872 in words is "ten million, seven hundred fourteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 47 56 59 69 84 92 94 118 138 141 161 168 177 184 188 236 276 282 322 329 354 376 413 472 483 552 564 644 658 708 826 966 987 1081 1128 1239 1288 1316 1357 1416 1652 1932 1974 2162 2478 2632 2714 2773 3243 3304 3864 3948 4071 4324 4956 5428 5546 6486 7567 7896 8142 8319 8648 9499 9912 10856 11092 12972 15134 16284 16638 18998 19411 22184 22701 25944 28497 30268 32568 33276 37996 38822 45402 56994 58233 60536 63779 66552 75992 77644 90804 113988 116466 127558 155288 181608 191337 227976 232932 255116 382674 446453 465864 510232 765348 892906 1339359 1530696 1785812 2678718 3571624 5357436 10714872