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14397440 = 21251937
BaseRepresentation
bin110110111011…
…000000000000
31000002110120112
4312323000000
512141204230
61232330452
7233243021
oct66730000
930073515
1014397440
118144012
1249a3a28
132ca12c5
141caac48
1513e5d95
hexdbb000

14397440 has 104 divisors (see below), whose sum is σ = 37350960. Its totient is φ = 5308416.

The previous prime is 14397391. The next prime is 14397457. The reversal of 14397440 is 4479341.

It is a happy number.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14397397 and 14397406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389102 + ... + 389138.

Almost surely, 214397440 is an apocalyptic number.

14397440 is a gapful number since it is divisible by the number (10) 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 14397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675480).

14397440 is an abundant number, since it is smaller than the sum of its proper divisors (22953520).

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

14397440 is an equidigital number, since it uses as much as digits as its factorization.

14397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 14397440 is about 3794.3958675921. The cubic root of 14397440 is about 243.2736618971.

The spelling of 14397440 in words is "fourteen million, three hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 37 38 40 64 74 76 80 95 128 148 152 160 185 190 256 296 304 320 370 380 512 592 608 640 703 740 760 1024 1184 1216 1280 1406 1480 1520 2048 2368 2432 2560 2812 2960 3040 3515 4096 4736 4864 5120 5624 5920 6080 7030 9472 9728 10240 11248 11840 12160 14060 18944 19456 20480 22496 23680 24320 28120 37888 38912 44992 47360 48640 56240 75776 77824 89984 94720 97280 112480 151552 179968 189440 194560 224960 359936 378880 389120 449920 719872 757760 899840 1439744 1799680 2879488 3599360 7198720 14397440