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13990600 = 2352135381
BaseRepresentation
bin110101010111…
…101011001000
3222022210111101
4311113223020
512040144400
61215511144
7226626631
oct65275310
928283441
1013990600
117996388
1248284b4
132b8b080
141c02888
15136556a
hexd57ac8

13990600 has 48 divisors (see below), whose sum is σ = 35036820. Its totient is φ = 5164800.

The previous prime is 13990597. The next prime is 13990637. The reversal of 13990600 is 609931.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1726596 + 12264004 = 1314^2 + 3502^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 91 + ... + 5290.

Almost surely, 213990600 is an apocalyptic number.

13990600 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 13990600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17518410).

13990600 is an abundant number, since it is smaller than the sum of its proper divisors (21046220).

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

13990600 is a wasteful number, since it uses less digits than its factorization.

13990600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 13990600 is about 3740.4010480161. The cubic root of 13990600 is about 240.9602730612.

The spelling of 13990600 in words is "thirteen million, nine hundred ninety thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 5381 10762 21524 26905 43048 53810 69953 107620 134525 139906 215240 269050 279812 349765 538100 559624 699530 1076200 1399060 1748825 2798120 3497650 6995300 13990600