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145696 = 2529157
BaseRepresentation
bin100011100100100000
321101212011
4203210200
514130241
63042304
71144525
oct434440
9241764
10145696
119a511
1270394
1351415
143b14c
152d281
hex23920

145696 has 24 divisors (see below), whose sum is σ = 298620. Its totient is φ = 69888.

The previous prime is 145687. The next prime is 145703. The reversal of 145696 is 696541.

145696 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 144400 + 1296 = 380^2 + 36^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 850 + ... + 1006.

2145696 is an apocalyptic number.

145696 is a gapful number since it is divisible by the number (16) 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 145696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149310).

145696 is an abundant number, since it is smaller than the sum of its proper divisors (152924).

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

145696 is a wasteful number, since it uses less digits than its factorization.

145696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 145696 is about 381.7014540187. The cubic root of 145696 is about 52.6198019965.

It can be divided in two parts, 145 and 696, that added together give a square (841 = 292).

The spelling of 145696 in words is "one hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 116 157 232 314 464 628 928 1256 2512 4553 5024 9106 18212 36424 72848 145696