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172142240 = 2552115099
BaseRepresentation
bin10100100001010…
…10111010100000
3102222220201202112
422100222322200
5323032022430
625025334452
74160120264
oct1220527240
9388821675
10172142240
1189196016
1249797428
132988241a
1418c100a4
15101a5195
hexa42aea0

172142240 has 48 divisors (see below), whose sum is σ = 408693600. Its totient is φ = 68517120.

The previous prime is 172142237. The next prime is 172142263. The reversal of 172142240 is 42241271.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31211 + ... + 36309.

It is an arithmetic number, because the mean of its divisors is an integer number (8514450).

Almost surely, 2172142240 is an apocalyptic number.

172142240 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 172142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204346800).

172142240 is an abundant number, since it is smaller than the sum of its proper divisors (236551360).

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

172142240 is a wasteful number, since it uses less digits than its factorization.

172142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 172142240 is about 13120.2987770858. The cubic root of 172142240 is about 556.2830365431.

The spelling of 172142240 in words is "one hundred seventy-two million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 211 422 844 1055 1688 2110 3376 4220 5099 6752 8440 10198 16880 20396 25495 33760 40792 50990 81584 101980 163168 203960 407920 815840 1075889 2151778 4303556 5379445 8607112 10758890 17214224 21517780 34428448 43035560 86071120 172142240