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10729380 = 22351767157
BaseRepresentation
bin101000111011…
…011110100100
3202012002221110
4220323132210
510221320010
61021545020
7160124664
oct50733644
922162843
1010729380
116069162
123715170
1322b885c
1415d41a4
15e1e120
hexa3b7a4

10729380 has 96 divisors (see below), whose sum is σ = 32489856. Its totient is φ = 2635776.

The previous prime is 10729361. The next prime is 10729387. The reversal of 10729380 is 8392701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10729387) 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, 68262 + ... + 68418.

It is an arithmetic number, because the mean of its divisors is an integer number (338436).

Almost surely, 210729380 is an apocalyptic number.

10729380 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 10729380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16244928).

10729380 is an abundant number, since it is smaller than the sum of its proper divisors (21760476).

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

10729380 is a wasteful number, since it uses less digits than its factorization.

10729380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10729380 is about 3275.5732322755. The cubic root of 10729380 is about 220.5590465117.

The spelling of 10729380 in words is "ten million, seven hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 67 68 85 102 134 157 170 201 204 255 268 314 335 340 402 471 510 628 670 785 804 942 1005 1020 1139 1340 1570 1884 2010 2278 2355 2669 3140 3417 4020 4556 4710 5338 5695 6834 8007 9420 10519 10676 11390 13345 13668 16014 17085 21038 22780 26690 31557 32028 34170 40035 42076 52595 53380 63114 68340 80070 105190 126228 157785 160140 178823 210380 315570 357646 536469 631140 715292 894115 1072938 1788230 2145876 2682345 3576460 5364690 10729380