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10742508 = 2232747907
BaseRepresentation
bin101000111110…
…101011101100
3202012202221200
4220332223230
510222230013
61022125500
7160211160
oct50765354
922182850
1010742508
116078007
123720890
1322c181a
1415d8ca0
15e22e73
hexa3eaec

10742508 has 72 divisors (see below), whose sum is σ = 31729152. Its totient is φ = 3000672.

The previous prime is 10742507. The next prime is 10742539. The reversal of 10742508 is 80524701.

It is not an unprimeable number, because it can be changed into a prime (10742507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11391 + ... + 12297.

Almost surely, 210742508 is an apocalyptic number.

10742508 is a gapful number since it is divisible by the number (18) 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 10742508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864576).

10742508 is an abundant number, since it is smaller than the sum of its proper divisors (20986644).

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

10742508 is a wasteful number, since it uses less digits than its factorization.

10742508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10742508 is about 3277.5765437286. The cubic root of 10742508 is about 220.6489653150.

The spelling of 10742508 in words is "ten million, seven hundred forty-two thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 907 987 1316 1692 1814 1974 2721 2961 3628 3948 5442 5922 6349 8163 10884 11844 12698 16326 19047 25396 32652 38094 42629 57141 76188 85258 114282 127887 170516 228564 255774 298403 383661 511548 596806 767322 895209 1193612 1534644 1790418 2685627 3580836 5371254 10742508