[go: up one dir, main page]

Search a number
-
+
132302310 = 23575311887
BaseRepresentation
bin1111110001011…
…00010111100110
3100012221122122120
413320230113212
5232332133220
621043410410
73164360010
oct770542746
9305848576
10132302310
1168754758
1238383a06
13215436ba
14137dd1b0
15b935a40
hex7e2c5e6

132302310 has 64 divisors (see below), whose sum is σ = 369764352. Its totient is φ = 29667456.

The previous prime is 132302309. The next prime is 132302329. The reversal of 132302310 is 13203231.

It is a super-2 number, since 2×1323023102 = 35007802462672200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132302310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5187 + ... + 17073.

It is an arithmetic number, because the mean of its divisors is an integer number (5777568).

Almost surely, 2132302310 is an apocalyptic number.

132302310 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 132302310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184882176).

132302310 is an abundant number, since it is smaller than the sum of its proper divisors (237462042).

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

132302310 is a wasteful number, since it uses less digits than its factorization.

132302310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11957.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132302310 is about 11502.2741229724. The cubic root of 132302310 is about 509.5527412889.

Adding to 132302310 its reverse (13203231), we get a palindrome (145505541).

The spelling of 132302310 in words is "one hundred thirty-two million, three hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 3710 5565 11130 11887 23774 35661 59435 71322 83209 118870 166418 178305 249627 356610 416045 499254 630011 832090 1248135 1260022 1890033 2496270 3150055 3780066 4410077 6300110 8820154 9450165 13230231 18900330 22050385 26460462 44100770 66151155 132302310