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13820704 = 252953281
BaseRepresentation
bin110100101110…
…001100100000
3222000011102221
4310232030200
512014230304
61212120424
7225321412
oct64561440
928004387
1013820704
11788a777
124766114
132b2b941
141b9a9b2
151330054
hexd2e320

13820704 has 48 divisors (see below), whose sum is σ = 28780920. Its totient is φ = 6522880.

The previous prime is 13820687. The next prime is 13820713. The reversal of 13820704 is 40702831.

It can be written as a sum of positive squares in 4 ways, for example, as 13395600 + 425104 = 3660^2 + 652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49044 + ... + 49324.

Almost surely, 213820704 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 13820704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14390460).

13820704 is an abundant number, since it is smaller than the sum of its proper divisors (14960216).

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

13820704 is a wasteful number, since it uses less digits than its factorization.

13820704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13820704 is about 3717.6207445085. The cubic root of 13820704 is about 239.9809244098.

The spelling of 13820704 in words is "thirteen million, eight hundred twenty thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 53 58 106 116 212 232 281 424 464 562 848 928 1124 1537 1696 2248 3074 4496 6148 8149 8992 12296 14893 16298 24592 29786 32596 49184 59572 65192 119144 130384 238288 260768 431897 476576 863794 1727588 3455176 6910352 13820704