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10869984 = 253323547
BaseRepresentation
bin101001011101…
…110011100000
3202110020211000
4221131303200
510240314414
61024552000
7161251626
oct51356340
922406730
1010869984
116154864
123782600
132337858
14162d516
15e4ab09
hexa5dce0

10869984 has 96 divisors (see below), whose sum is σ = 33143040. Its totient is φ = 3459456.

The previous prime is 10869979. The next prime is 10870003. The reversal of 10869984 is 48996801.

10869984 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 tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19599 + ... + 20145.

It is an arithmetic number, because the mean of its divisors is an integer number (345240).

Almost surely, 210869984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10869984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571520).

10869984 is an abundant number, since it is smaller than the sum of its proper divisors (22273056).

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

10869984 is a wasteful number, since it uses less digits than its factorization.

10869984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 10869984 is about 3296.9658778944. The cubic root of 10869984 is about 221.5183128043.

The spelling of 10869984 in words is "ten million, eight hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 547 552 621 736 828 864 1094 1104 1242 1641 1656 2188 2208 2484 3282 3312 4376 4923 4968 6564 6624 8752 9846 9936 12581 13128 14769 17504 19692 19872 25162 26256 29538 37743 39384 50324 52512 59076 75486 78768 100648 113229 118152 150972 157536 201296 226458 236304 301944 339687 402592 452916 472608 603888 679374 905832 1207776 1358748 1811664 2717496 3623328 5434992 10869984