Search a number
-
+
132629800 = 2352663149
BaseRepresentation
bin1111110011111…
…00010100101000
3100020120021212211
413321330110220
5232423123200
621054414504
73200222542
oct771742450
9306507784
10132629800
1168958806
1238501434
1321629794
1413886692
15b99caba
hex7e7c528

132629800 has 24 divisors (see below), whose sum is σ = 308364750. Its totient is φ = 53051840.

The previous prime is 132629779. The next prime is 132629803. The reversal of 132629800 is 8926231.

132629800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 74960964 + 57668836 = 8658^2 + 7594^2 .

It is not an unprimeable number, because it can be changed into a prime (132629803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 331375 + ... + 331774.

Almost surely, 2132629800 is an apocalyptic number.

132629800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132629800 is an abundant number, since it is smaller than the sum of its proper divisors (175734950).

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

132629800 is a wasteful number, since it uses less digits than its factorization.

132629800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663165 (or 663156 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 132629800 is about 11516.5012047931. The cubic root of 132629800 is about 509.9728295150.

The spelling of 132629800 in words is "one hundred thirty-two million, six hundred twenty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 663149 1326298 2652596 3315745 5305192 6631490 13262980 16578725 26525960 33157450 66314900 132629800