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13690152 = 23327231181
BaseRepresentation
bin110100001110…
…010100101000
3221202112100200
4310032110220
512001041102
61205232200
7224235660
oct64162450
927675320
1013690152
117800683
124702660
132ab43a8
141b651a0
15130651c
hexd0e528

13690152 has 96 divisors (see below), whose sum is σ = 44254080. Its totient is φ = 3738240.

The previous prime is 13690141. The next prime is 13690153. The reversal of 13690152 is 25109631.

It is not an unprimeable number, because it can be changed into a prime (13690153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11002 + ... + 12182.

It is an arithmetic number, because the mean of its divisors is an integer number (460980).

Almost surely, 213690152 is an apocalyptic number.

13690152 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 13690152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22127040).

13690152 is an abundant number, since it is smaller than the sum of its proper divisors (30563928).

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

13690152 is a wasteful number, since it uses less digits than its factorization.

13690152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13690152 is about 3700.0205404835. The cubic root of 13690152 is about 239.2229032182. Note that the first 3 decimals are identical.

Adding to 13690152 its reverse (25109631), we get a palindrome (38799783).

The spelling of 13690152 in words is "thirteen million, six hundred ninety thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1181 1288 1449 1656 1932 2362 2898 3543 3864 4724 5796 7086 8267 9448 10629 11592 14172 16534 21258 24801 27163 28344 33068 42516 49602 54326 66136 74403 81489 85032 99204 108652 148806 162978 190141 198408 217304 244467 297612 325956 380282 488934 570423 595224 651912 760564 977868 1140846 1521128 1711269 1955736 2281692 3422538 4563384 6845076 13690152