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10970320 = 245241569
BaseRepresentation
bin101001110110…
…010011010000
3202122100110011
4221312103100
510302022240
61031044304
7162150304
oct51662320
922570404
1010970320
116213189
123810694
13237141a
141657d04
15e6a6ea
hexa764d0

10970320 has 40 divisors (see below), whose sum is σ = 25656840. Its totient is φ = 4362240.

The previous prime is 10970299. The next prime is 10970327. The reversal of 10970320 is 2307901.

It can be written as a sum of positive squares in 4 ways, for example, as 781456 + 10188864 = 884^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10970291 and 10970300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10970327) 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 7 ways as a sum of consecutive naturals, for example, 18996 + ... + 19564.

It is an arithmetic number, because the mean of its divisors is an integer number (641421).

Almost surely, 210970320 is an apocalyptic number.

10970320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10970320 is an abundant number, since it is smaller than the sum of its proper divisors (14686520).

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

10970320 is a wasteful number, since it uses less digits than its factorization.

10970320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 10970320 is about 3312.1473397178. The cubic root of 10970320 is about 222.1978054654.

The spelling of 10970320 in words is "ten million, nine hundred seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 569 964 1138 1205 1928 2276 2410 2845 3856 4552 4820 5690 9104 9640 11380 19280 22760 45520 137129 274258 548516 685645 1097032 1371290 2194064 2742580 5485160 10970320