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10739712 = 21331923
BaseRepresentation
bin101000111110…
…000000000000
3202012122010010
4220332000000
510222132322
61022104520
7160200054
oct50760000
922178103
1010739712
1160759a5
12371b140
1322c0479
1415d7c64
15e2220c
hexa3e000

10739712 has 112 divisors (see below), whose sum is σ = 31455360. Its totient is φ = 3244032.

The previous prime is 10739681. The next prime is 10739713. The reversal of 10739712 is 21793701.

It is a self number, because there is not a number n which added to its sum of digits gives 10739712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10739713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466933 + ... + 466955.

Almost surely, 210739712 is an apocalyptic number.

10739712 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 10739712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15727680).

10739712 is an abundant number, since it is smaller than the sum of its proper divisors (20715648).

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

10739712 is an equidigital number, since it uses as much as digits as its factorization.

10739712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 10739712 is about 3277.1499813100. The cubic root of 10739712 is about 220.6298205604.

The spelling of 10739712 in words is "ten million, seven hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 276 304 368 384 437 456 512 552 608 736 768 874 912 1024 1104 1216 1311 1472 1536 1748 1824 2048 2208 2432 2622 2944 3072 3496 3648 4096 4416 4864 5244 5888 6144 6992 7296 8192 8832 9728 10488 11776 12288 13984 14592 17664 19456 20976 23552 24576 27968 29184 35328 38912 41952 47104 55936 58368 70656 77824 83904 94208 111872 116736 141312 155648 167808 188416 223744 233472 282624 335616 447488 466944 565248 671232 894976 1342464 1789952 2684928 3579904 5369856 10739712