Search a number
-
+
10700742 = 2313261173
BaseRepresentation
bin101000110100…
…011111000110
3202010122122210
4220310133012
510214410432
61021204250
7156645333
oct50643706
922118583
1010700742
116049698
123700686
1322a8800
1415c798a
15e158cc
hexa347c6

10700742 has 48 divisors (see below), whose sum is σ = 23690448. Its totient is φ = 3219840.

The previous prime is 10700719. The next prime is 10700759. The reversal of 10700742 is 24700701.

10700742 = T268 + T269 + ... + T436.

10700742 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107007422 = 229011758701128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61768 + ... + 61940.

It is an arithmetic number, because the mean of its divisors is an integer number (493551).

Almost surely, 210700742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10700742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11845224).

10700742 is an abundant number, since it is smaller than the sum of its proper divisors (12989706).

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

10700742 is a wasteful number, since it uses less digits than its factorization.

10700742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 10700742 is about 3271.1988628024. The cubic root of 10700742 is about 220.3626388274.

The spelling of 10700742 in words is "ten million, seven hundred thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 39 61 78 122 169 173 183 338 346 366 507 519 793 1014 1038 1586 2249 2379 4498 4758 6747 10309 10553 13494 20618 21106 29237 30927 31659 58474 61854 63318 87711 137189 175422 274378 411567 823134 1783457 3566914 5350371 10700742