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13919072 = 252953283
BaseRepresentation
bin110101000110…
…001101100000
3222012011101012
4311012031200
512030402242
61214200052
7226211246
oct65061540
928164335
1013919072
117947672
1247b3028
132b6464b
141bc4796
15134e282
hexd46360

13919072 has 48 divisors (see below), whose sum is σ = 28985040. Its totient is φ = 6569472.

The previous prime is 13919069. The next prime is 13919083. The reversal of 13919072 is 27091931.

It is a happy number.

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

It is a congruent number.

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, 49043 + ... + 49325.

It is an arithmetic number, because the mean of its divisors is an integer number (603855).

Almost surely, 213919072 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 13919072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492520).

13919072 is an abundant number, since it is smaller than the sum of its proper divisors (15065968).

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

13919072 is a wasteful number, since it uses less digits than its factorization.

13919072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 13919072 is about 3730.8272541087. The cubic root of 13919072 is about 240.5489287166.

The spelling of 13919072 in words is "thirteen million, nine hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 53 58 106 116 212 232 283 424 464 566 848 928 1132 1537 1696 2264 3074 4528 6148 8207 9056 12296 14999 16414 24592 29998 32828 49184 59996 65656 119992 131312 239984 262624 434971 479968 869942 1739884 3479768 6959536 13919072