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13699152 = 2433191669
BaseRepresentation
bin110100010000…
…100001010000
3221202222201000
4310100201100
512001333102
61205342000
7224304135
oct64204120
927688630
1013699152
117807415
124707900
132ab850c
141b6858c
15130901c
hexd10850

13699152 has 80 divisors (see below), whose sum is σ = 41416000. Its totient is φ = 4323456.

The previous prime is 13699129. The next prime is 13699159. The reversal of 13699152 is 25199631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13699159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7374 + ... + 9042.

It is an arithmetic number, because the mean of its divisors is an integer number (517700).

Almost surely, 213699152 is an apocalyptic number.

13699152 is a gapful number since it is divisible by the number (12) 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 13699152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20708000).

13699152 is an abundant number, since it is smaller than the sum of its proper divisors (27716848).

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

13699152 is a wasteful number, since it uses less digits than its factorization.

13699152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1693 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 13699152 is about 3701.2365501275. The cubic root of 13699152 is about 239.2753139949.

The spelling of 13699152 in words is "thirteen million, six hundred ninety-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 1669 2052 2736 3338 4104 5007 6676 8208 10014 13352 15021 20028 26704 30042 31711 40056 45063 60084 63422 80112 90126 95133 120168 126844 180252 190266 240336 253688 285399 360504 380532 507376 570798 721008 761064 856197 1141596 1522128 1712394 2283192 3424788 4566384 6849576 13699152