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10713720 = 23351937127
BaseRepresentation
bin101000110111…
…101001111000
3202011022110110
4220313221320
510220314340
61021344320
7160031223
oct50675170
922138413
1010713720
116058416
1237080a0
1322b16a4
1415cc5ba
15e19680
hexa37a78

10713720 has 128 divisors (see below), whose sum is σ = 35020800. Its totient is φ = 2612736.

The previous prime is 10713709. The next prime is 10713727. The reversal of 10713720 is 2731701.

It is a super-2 number, since 2×107137202 = 229567592476800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10713727) 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, 84297 + ... + 84423.

It is an arithmetic number, because the mean of its divisors is an integer number (273600).

Almost surely, 210713720 is an apocalyptic number.

10713720 is a gapful number since it is divisible by the number (10) 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 10713720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510400).

10713720 is an abundant number, since it is smaller than the sum of its proper divisors (24307080).

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

10713720 is a wasteful number, since it uses less digits than its factorization.

10713720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 10713720 is about 3273.1819381147. The cubic root of 10713720 is about 220.4516890679.

The spelling of 10713720 in words is "ten million, seven hundred thirteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 37 38 40 57 60 74 76 95 111 114 120 127 148 152 185 190 222 228 254 285 296 370 380 381 444 456 508 555 570 635 703 740 760 762 888 1016 1110 1140 1270 1406 1480 1524 1905 2109 2220 2280 2413 2540 2812 3048 3515 3810 4218 4440 4699 4826 5080 5624 7030 7239 7620 8436 9398 9652 10545 12065 14060 14097 14478 15240 16872 18796 19304 21090 23495 24130 28120 28194 28956 36195 37592 42180 46990 48260 56388 57912 70485 72390 84360 89281 93980 96520 112776 140970 144780 178562 187960 267843 281940 289560 357124 446405 535686 563880 714248 892810 1071372 1339215 1785620 2142744 2678430 3571240 5356860 10713720