Search a number
-
+
132097860 = 223255031459
BaseRepresentation
bin1111101111110…
…10011101000100
3100012120021012100
413313322131010
5232304112420
621035152100
73162545646
oct767723504
9305507170
10132097860
1168625094
12382a5630
13214a161b
1413788896
15b8e5190
hex7dfa744

132097860 has 72 divisors (see below), whose sum is σ = 401768640. Its totient is φ = 35131968.

The previous prime is 132097853. The next prime is 132097877. The reversal of 132097860 is 68790231.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 89811 + ... + 91269.

It is an arithmetic number, because the mean of its divisors is an integer number (5580120).

Almost surely, 2132097860 is an apocalyptic number.

132097860 is a gapful number since it is divisible by the number (10) 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 132097860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200884320).

132097860 is an abundant number, since it is smaller than the sum of its proper divisors (269670780).

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

132097860 is a wasteful number, since it uses less digits than its factorization.

132097860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 132097860 is about 11493.3833138898. The cubic root of 132097860 is about 509.2901311928.

The spelling of 132097860 in words is "one hundred thirty-two million, ninety-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 503 1006 1459 1509 2012 2515 2918 3018 4377 4527 5030 5836 6036 7295 7545 8754 9054 10060 13131 14590 15090 17508 18108 21885 22635 26262 29180 30180 43770 45270 52524 65655 87540 90540 131310 262620 733877 1467754 2201631 2935508 3669385 4403262 6604893 7338770 8806524 11008155 13209786 14677540 22016310 26419572 33024465 44032620 66048930 132097860