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59696 = 2471341
BaseRepresentation
bin1110100100110000
310000212222
432210300
53402241
61140212
7336020
oct164460
9100788
1059696
114093a
122a668
1321230
1417a80
1512a4b
hexe930

59696 has 40 divisors (see below), whose sum is σ = 145824. Its totient is φ = 23040.

The previous prime is 59693. The next prime is 59699. The reversal of 59696 is 69695.

It is an interprime number because it is at equal distance from previous prime (59693) and next prime (59699).

It is a super-2 number, since 2×596962 = 7127224832, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (59693) 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, 1436 + ... + 1476.

259696 is an apocalyptic number.

59696 is a gapful number since it is divisible by the number (56) 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 59696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912).

59696 is an abundant number, since it is smaller than the sum of its proper divisors (86128).

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

59696 is a wasteful number, since it uses less digits than its factorization.

59696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 63 counting only the distinct ones).

The product of its digits is 14580, while the sum is 35.

The square root of 59696 is about 244.3276488652. The cubic root of 59696 is about 39.0824466661.

Subtracting 59696 from its reverse (69695), we obtain a palindrome (9999).

The spelling of 59696 in words is "fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 82 91 104 112 164 182 208 287 328 364 533 574 656 728 1066 1148 1456 2132 2296 3731 4264 4592 7462 8528 14924 29848 59696