Search a number
-
+
10856970 = 233579509
BaseRepresentation
bin101001011010…
…101000001010
3202102120222000
4221122220022
510234410340
61024411430
7161165655
oct51325012
922376860
1010856970
116146003
123776b76
132331957
14162889c
15e46d30
hexa5aa0a

10856970 has 64 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 2852928.

The previous prime is 10856959. The next prime is 10856977. The reversal of 10856970 is 7965801.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (10856977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21076 + ... + 21584.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 210856970 is an apocalyptic number.

10856970 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 10856970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

10856970 is an abundant number, since it is smaller than the sum of its proper divisors (18519030).

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

10856970 is a wasteful number, since it uses less digits than its factorization.

10856970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10856970 is about 3294.9916540107. The cubic root of 10856970 is about 221.4298738341.

The spelling of 10856970 in words is "ten million, eight hundred fifty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 395 474 509 711 790 1018 1185 1422 1527 2133 2370 2545 3054 3555 4266 4581 5090 7110 7635 9162 10665 13743 15270 21330 22905 27486 40211 45810 68715 80422 120633 137430 201055 241266 361899 402110 603165 723798 1085697 1206330 1809495 2171394 3618990 5428485 10856970