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132314010 = 23543109941
BaseRepresentation
bin1111110001011…
…11001110011010
3100012222020200220
413320233032122
5232333022020
621043540510
73164436063
oct770571632
9305866626
10132314010
1168762524
123838a736
1321548b1a
141380356a
15b939240
hex7e2f39a

132314010 has 64 divisors (see below), whose sum is σ = 328268160. Its totient is φ = 34110720.

The previous prime is 132313999. The next prime is 132314027. The reversal of 132314010 is 10413231.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 140140 + ... + 141080.

It is an arithmetic number, because the mean of its divisors is an integer number (5129190).

Almost surely, 2132314010 is an apocalyptic number.

132314010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132314010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164134080).

132314010 is an abundant number, since it is smaller than the sum of its proper divisors (195954150).

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

132314010 is a wasteful number, since it uses less digits than its factorization.

132314010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132314010 is about 11502.7827068062. The cubic root of 132314010 is about 509.5677614130.

Adding to 132314010 its reverse (10413231), we get a palindrome (142727241).

The spelling of 132314010 in words is "one hundred thirty-two million, three hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 109 129 215 218 258 327 430 545 645 654 941 1090 1290 1635 1882 2823 3270 4687 4705 5646 9374 9410 14061 14115 23435 28122 28230 40463 46870 70305 80926 102569 121389 140610 202315 205138 242778 307707 404630 512845 606945 615414 1025690 1213890 1538535 3077070 4410467 8820934 13231401 22052335 26462802 44104670 66157005 132314010