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132603808 = 25171731409
BaseRepresentation
bin1111110011101…
…01111110100000
3100020111222020011
413321311332200
5232421310213
621054054304
73200054011
oct771657640
9306458204
10132603808
1168940227
12384aa394
132161a9bc
141387b008
15b99503d
hex7e75fa0

132603808 has 48 divisors (see below), whose sum is σ = 278215560. Its totient is φ = 61997056.

The previous prime is 132603797. The next prime is 132603817. The reversal of 132603808 is 808306231.

It can be written as a sum of positive squares in 4 ways, for example, as 117765904 + 14837904 = 10852^2 + 3852^2 .

It is a super-2 number, since 2×1326038082 = 35167539792201728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132603808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93408 + ... + 94816.

Almost surely, 2132603808 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 132603808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139107780).

132603808 is an abundant number, since it is smaller than the sum of its proper divisors (145611752).

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

132603808 is a wasteful number, since it uses less digits than its factorization.

132603808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 132603808 is about 11515.3726817676. The cubic root of 132603808 is about 509.9395135237.

The spelling of 132603808 in words is "one hundred thirty-two million, six hundred three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 173 272 346 544 692 1384 1409 2768 2818 2941 5536 5636 5882 11272 11764 22544 23528 23953 45088 47056 47906 94112 95812 191624 243757 383248 487514 766496 975028 1950056 3900112 4143869 7800224 8287738 16575476 33150952 66301904 132603808