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13693400 = 235279781
BaseRepresentation
bin110100001111…
…000111011000
3221202200210222
4310033013120
512001142100
61205255212
7224251310
oct64170730
927680728
1013693400
117803066
124704508
132ab5a06
141b66440
151307485
hexd0f1d8

13693400 has 48 divisors (see below), whose sum is σ = 36389040. Its totient is φ = 4694400.

The previous prime is 13693397. The next prime is 13693409. The reversal of 13693400 is 439631.

13693400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13693400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13693409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3491 + ... + 6290.

It is an arithmetic number, because the mean of its divisors is an integer number (758105).

Almost surely, 213693400 is an apocalyptic number.

13693400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13693400 is an abundant number, since it is smaller than the sum of its proper divisors (22695640).

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

13693400 is a wasteful number, since it uses less digits than its factorization.

13693400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9804 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 13693400 is about 3700.4594309356. The cubic root of 13693400 is about 239.2418203334.

The spelling of 13693400 in words is "thirteen million, six hundred ninety-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 9781 19562 39124 48905 68467 78248 97810 136934 195620 244525 273868 342335 391240 489050 547736 684670 978100 1369340 1711675 1956200 2738680 3423350 6846700 13693400