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10010970 = 2325412713
BaseRepresentation
bin100110001100…
…000101011010
3200211121110200
4212030011122
510030322340
6554323030
7151043334
oct46140532
920747420
1010010970
115718432
123429476
1320c6868
141488454
15d2b330
hex98c15a

10010970 has 48 divisors (see below), whose sum is σ = 26673192. Its totient is φ = 2603520.

The previous prime is 10010969. The next prime is 10010989. The reversal of 10010970 is 7901001.

It can be written as a sum of positive squares in 4 ways, for example, as 8415801 + 1595169 = 2901^2 + 1263^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2334 + ... + 5046.

Almost surely, 210010970 is an apocalyptic number.

10010970 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 10010970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13336596).

10010970 is an abundant number, since it is smaller than the sum of its proper divisors (16662222).

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

10010970 is a wasteful number, since it uses less digits than its factorization.

10010970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 10010970 is about 3164.0116940365. The cubic root of 10010970 is about 215.5222207085.

Adding to 10010970 its reverse (7901001), we get a palindrome (17911971).

The spelling of 10010970 in words is "ten million, ten thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 2713 3690 5426 8139 13565 16278 24417 27130 40695 48834 81390 111233 122085 222466 244170 333699 556165 667398 1001097 1112330 1668495 2002194 3336990 5005485 10010970