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10742790 = 2351947401
BaseRepresentation
bin101000111110…
…110000000110
3202012210100010
4220332300012
510222232130
61022131050
7160212042
oct50766006
922183303
1010742790
116078243
123720a86
1322c19a6
1415d9022
15e230b0
hexa3ec06

10742790 has 64 divisors (see below), whose sum is σ = 27786240. Its totient is φ = 2649600.

The previous prime is 10742783. The next prime is 10742791. The reversal of 10742790 is 9724701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742791) 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 31 ways as a sum of consecutive naturals, for example, 26590 + ... + 26990.

It is an arithmetic number, because the mean of its divisors is an integer number (434160).

Almost surely, 210742790 is an apocalyptic number.

10742790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13893120).

10742790 is an abundant number, since it is smaller than the sum of its proper divisors (17043450).

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

10742790 is a wasteful number, since it uses less digits than its factorization.

10742790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 10742790 is about 3277.6195630366. The cubic root of 10742790 is about 220.6508960393.

The spelling of 10742790 in words is "ten million, seven hundred forty-two thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 47 57 94 95 114 141 190 235 282 285 401 470 570 705 802 893 1203 1410 1786 2005 2406 2679 4010 4465 5358 6015 7619 8930 12030 13395 15238 18847 22857 26790 37694 38095 45714 56541 76190 94235 113082 114285 188470 228570 282705 358093 565410 716186 1074279 1790465 2148558 3580930 5371395 10742790