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10869680 = 245831637
BaseRepresentation
bin101001011101…
…101110110000
3202110020101202
4221131232300
510240312210
61024550332
7161251013
oct51355660
922406352
1010869680
116154608
1237823a8
132337683
14162d37a
15e4a9a5
hexa5dbb0

10869680 has 40 divisors (see below), whose sum is σ = 25592112. Its totient is φ = 4292864.

The previous prime is 10869667. The next prime is 10869697. The reversal of 10869680 is 8696801.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5822 + ... + 7458.

Almost surely, 210869680 is an apocalyptic number.

10869680 is a gapful number since it is divisible by the number (10) 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 10869680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796056).

10869680 is an abundant number, since it is smaller than the sum of its proper divisors (14722432).

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

10869680 is a wasteful number, since it uses less digits than its factorization.

10869680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 10869680 is about 3296.9197745775. The cubic root of 10869680 is about 221.5162477232.

The spelling of 10869680 in words is "ten million, eight hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1637 1660 3274 3320 6548 6640 8185 13096 16370 26192 32740 65480 130960 135871 271742 543484 679355 1086968 1358710 2173936 2717420 5434840 10869680