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10713384 = 233611167
BaseRepresentation
bin101000110111…
…100100101000
3202011022000000
4220313210220
510220312014
61021343000
7160030233
oct50674450
922138000
1010713384
116058140
123707a60
1322b14a6
1415cc41a
15e19509
hexa37928

10713384 has 112 divisors (see below), whose sum is σ = 33052320. Its totient is φ = 3227040.

The previous prime is 10713361. The next prime is 10713389. The reversal of 10713384 is 48331701.

It is a super-2 number, since 2×107133842 = 229553193462912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10713389) 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 27 ways as a sum of consecutive naturals, for example, 64069 + ... + 64235.

It is an arithmetic number, because the mean of its divisors is an integer number (295110).

Almost surely, 210713384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10713384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16526160).

10713384 is an abundant number, since it is smaller than the sum of its proper divisors (22338936).

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

10713384 is a wasteful number, since it uses less digits than its factorization.

10713384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10713384 is about 3273.1306115094. The cubic root of 10713384 is about 220.4493844671.

The spelling of 10713384 in words is "ten million, seven hundred thirteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 167 198 216 243 264 297 324 334 396 486 501 594 648 668 729 792 891 972 1002 1188 1336 1458 1503 1782 1837 1944 2004 2376 2673 2916 3006 3564 3674 4008 4509 5346 5511 5832 6012 7128 7348 8019 9018 10692 11022 12024 13527 14696 16038 16533 18036 21384 22044 27054 32076 33066 36072 40581 44088 49599 54108 64152 66132 81162 99198 108216 121743 132264 148797 162324 198396 243486 297594 324648 396792 446391 486972 595188 892782 973944 1190376 1339173 1785564 2678346 3571128 5356692 10713384