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13959456 = 253720773
BaseRepresentation
bin110101010000…
…000100100000
3222021012202220
4311100010200
512033200311
61215111040
7226440060
oct65200440
928235686
1013959456
117974a45
124812480
132b79b44
141bd53a0
15135b206
hexd50120

13959456 has 48 divisors (see below), whose sum is σ = 41880384. Its totient is φ = 3988224.

The previous prime is 13959437. The next prime is 13959457. The reversal of 13959456 is 65495931.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (13959457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9715 + ... + 11058.

It is an arithmetic number, because the mean of its divisors is an integer number (872508).

Almost surely, 213959456 is an apocalyptic number.

13959456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13959456 is an abundant number, since it is smaller than the sum of its proper divisors (27920928).

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

13959456 is a wasteful number, since it uses less digits than its factorization.

13959456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20793 (or 20785 counting only the distinct ones).

The product of its digits is 145800, while the sum is 42.

The square root of 13959456 is about 3736.2355386137. The cubic root of 13959456 is about 240.7813423954.

It can be divided in two parts, 139 and 59456, that added together give a palindrome (59595).

The spelling of 13959456 in words is "thirteen million, nine hundred fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 20773 41546 62319 83092 124638 145411 166184 249276 290822 332368 436233 498552 581644 664736 872466 997104 1163288 1744932 1994208 2326576 3489864 4653152 6979728 13959456