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13697024 = 2161119
BaseRepresentation
bin110100010000…
…000000000000
3221202212210012
4310100000000
512001301044
61205324052
7224265005
oct64200000
927685705
1013697024
117805860
124706628
132ab7563
141b678ac
15130859e
hexd10000

13697024 has 68 divisors (see below), whose sum is σ = 31457040. Its totient is φ = 5898240.

The previous prime is 13697023. The next prime is 13697041. The reversal of 13697024 is 42079631.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (13697023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 720887 + ... + 720905.

Almost surely, 213697024 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 13697024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728520).

13697024 is an abundant number, since it is smaller than the sum of its proper divisors (17760016).

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

13697024 is an frugal number, since it uses more digits than its factorization.

13697024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 13697024 is about 3700.9490674690. The cubic root of 13697024 is about 239.2629238305.

The spelling of 13697024 in words is "thirteen million, six hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1024 1216 1408 1672 2048 2432 2816 3344 4096 4864 5632 6688 8192 9728 11264 13376 16384 19456 22528 26752 32768 38912 45056 53504 65536 77824 90112 107008 155648 180224 214016 311296 360448 428032 622592 720896 856064 1245184 1712128 3424256 6848512 13697024