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172132740 = 223251373561
BaseRepresentation
bin10100100001010…
…00100110000100
3102222220020201200
422100220212010
5323031221430
625025222500
74160050503
oct1220504604
9388806650
10172132740
118918996a
1249791a30
132987acc0
1418c0a83a
15101a2460
hexa428984

172132740 has 72 divisors (see below), whose sum is σ = 562307928. Its totient is φ = 42370560.

The previous prime is 172132729. The next prime is 172132747. The reversal of 172132740 is 47231271.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 169989444 = 1464^2 + 13038^2 .

It is not an unprimeable number, because it can be changed into a prime (172132747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34441 + ... + 39120.

Almost surely, 2172132740 is an apocalyptic number.

172132740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172132740 is an abundant number, since it is smaller than the sum of its proper divisors (390175188).

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

172132740 is a wasteful number, since it uses less digits than its factorization.

172132740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73589 (or 73584 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 172132740 is about 13119.9367376524. The cubic root of 172132740 is about 556.2728031724.

The spelling of 172132740 in words is "one hundred seventy-two million, one hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 73561 147122 220683 294244 367805 441366 662049 735610 882732 956293 1103415 1324098 1471220 1912586 2206830 2648196 2868879 3310245 3825172 4413660 4781465 5737758 6620490 8606637 9562930 11475516 13240980 14344395 17213274 19125860 28688790 34426548 43033185 57377580 86066370 172132740