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14397936 = 243773587
BaseRepresentation
bin110110111011…
…000111110000
31000002111020220
4312323013300
512141213221
61232333040
7233244330
oct66730760
930074226
1014397936
118144423
1249a4180
132ca15b7
141cab0c0
1513e60c6
hexdbb1f0

14397936 has 80 divisors (see below), whose sum is σ = 43163904. Its totient is φ = 4050432.

The previous prime is 14397923. The next prime is 14397941. The reversal of 14397936 is 63979341.

It is a super-2 number, since 2×143979362 = 414601122120192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24235 + ... + 24821.

Almost surely, 214397936 is an apocalyptic number.

14397936 is a gapful number since it is divisible by the number (16) 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 14397936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21581952).

14397936 is an abundant number, since it is smaller than the sum of its proper divisors (28765968).

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

14397936 is a wasteful number, since it uses less digits than its factorization.

14397936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 14397936 is about 3794.4612265775. The cubic root of 14397936 is about 243.2764555037.

The spelling of 14397936 in words is "fourteen million, three hundred ninety-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 587 876 1022 1168 1174 1533 1752 1761 2044 2348 3066 3504 3522 4088 4109 4696 6132 7044 8176 8218 9392 12264 12327 14088 16436 24528 24654 28176 32872 42851 49308 65744 85702 98616 128553 171404 197232 257106 299957 342808 514212 599914 685616 899871 1028424 1199828 1799742 2056848 2399656 3599484 4799312 7198968 14397936