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172190240 = 2552933673
BaseRepresentation
bin10100100001101…
…10101000100000
3110000000011121022
422100312220200
5323040041430
625030345012
74160410235
oct1220665040
9400004538
10172190240
1189219092
12497bb168
132989b221
1418c2378c
15101b44e5
hexa436a20

172190240 has 48 divisors (see below), whose sum is σ = 408298968. Its totient is φ = 68622336.

The previous prime is 172190237. The next prime is 172190309. The reversal of 172190240 is 42091271.

It can be written as a sum of positive squares in 4 ways, for example, as 139334416 + 32855824 = 11804^2 + 5732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45044 + ... + 48716.

Almost surely, 2172190240 is an apocalyptic number.

172190240 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 172190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204149484).

172190240 is an abundant number, since it is smaller than the sum of its proper divisors (236108728).

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

172190240 is a wasteful number, since it uses less digits than its factorization.

172190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 172190240 is about 13122.1278762250. The cubic root of 172190240 is about 556.3347362389.

The spelling of 172190240 in words is "one hundred seventy-two million, one hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 293 586 1172 1465 2344 2930 3673 4688 5860 7346 9376 11720 14692 18365 23440 29384 36730 46880 58768 73460 117536 146920 293840 587680 1076189 2152378 4304756 5380945 8609512 10761890 17219024 21523780 34438048 43047560 86095120 172190240