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14971392 = 2934192
BaseRepresentation
bin111001000111…
…001000000000
31001011121220000
4321013020000
512313041032
61252520000
7241153242
oct71071000
931147800
1014971392
1184a6257
125020000
133142617
141dba092
1514aae7c
hexe47200

14971392 has 150 divisors (see below), whose sum is σ = 47161323. Its totient is φ = 4727808.

The previous prime is 14971391. The next prime is 14971393. The reversal of 14971392 is 29317941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (14971391) and next prime (14971393).

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 7485696 = 2736^2 + 2736^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2736.

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

Its product of digits (13608) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (14971391) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 787959 + ... + 787977.

Almost surely, 214971392 is an apocalyptic number.

14971392 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 14971392

14971392 is an abundant number, since it is smaller than the sum of its proper divisors (32189931).

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

14971392 is an frugal number, since it uses more digits than its factorization.

14971392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 24 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 14971392 is about 3869.2883066528. The cubic root of 14971392 is about 246.4643223314.

The spelling of 14971392 in words is "fourteen million, nine hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 256 288 304 324 342 361 384 432 456 512 513 576 608 648 684 722 768 864 912 1026 1083 1152 1216 1296 1368 1444 1536 1539 1728 1824 2052 2166 2304 2432 2592 2736 2888 3078 3249 3456 3648 4104 4332 4608 4864 5184 5472 5776 6156 6498 6912 7296 8208 8664 9728 9747 10368 10944 11552 12312 12996 13824 14592 16416 17328 19494 20736 21888 23104 24624 25992 29184 29241 32832 34656 38988 41472 43776 46208 49248 51984 58482 65664 69312 77976 87552 92416 98496 103968 116964 131328 138624 155952 184832 196992 207936 233928 262656 277248 311904 393984 415872 467856 554496 623808 787968 831744 935712 1247616 1663488 1871424 2495232 3742848 4990464 7485696 14971392