[go: up one dir, main page]

Search a number
-
+
13690296 = 233437571
BaseRepresentation
bin110100001110…
…010110111000
3221202112120000
4310032112320
512001042141
61205233000
7224236254
oct64162670
927675500
1013690296
1178007a4
124702760
132ab4489
141b65264
1513065b6
hexd0e5b8

13690296 has 80 divisors (see below), whose sum is σ = 39450840. Its totient is φ = 4432320.

The previous prime is 13690283. The next prime is 13690309. The reversal of 13690296 is 69209631.

13690296 is a `hidden beast` number, since 1 + 369 + 0 + 296 = 666.

13690296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13690283) and next prime (13690309).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13690296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23691 + ... + 24261.

Almost surely, 213690296 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 13690296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19725420).

13690296 is an abundant number, since it is smaller than the sum of its proper divisors (25760544).

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

13690296 is a wasteful number, since it uses less digits than its factorization.

13690296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 13690296 is about 3700.0399997838. The cubic root of 13690296 is about 239.2237419714.

The spelling of 13690296 in words is "thirteen million, six hundred ninety thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 571 648 666 888 999 1142 1332 1713 1998 2284 2664 2997 3426 3996 4568 5139 5994 6852 7992 10278 11988 13704 15417 20556 21127 23976 30834 41112 42254 46251 61668 63381 84508 92502 123336 126762 169016 185004 190143 253524 370008 380286 507048 570429 760572 1140858 1521144 1711287 2281716 3422574 4563432 6845148 13690296