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172040 = 235111723
BaseRepresentation
bin101010000000001000
322201222212
4222000020
521001130
63404252
71314401
oct520010
9281885
10172040
11108290
1283688
13603cb
14469a8
1535e95
hex2a008

172040 has 64 divisors (see below), whose sum is σ = 466560. Its totient is φ = 56320.

The previous prime is 172031. The next prime is 172049. The reversal of 172040 is 40271.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (172031) and next prime (172049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7469 + ... + 7491.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

2172040 is an apocalyptic number.

172040 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 172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233280).

172040 is an abundant number, since it is smaller than the sum of its proper divisors (294520).

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

172040 is a wasteful number, since it uses less digits than its factorization.

172040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 172040 is about 414.7770485454. Note that the first 3 decimals coincide. The cubic root of 172040 is about 55.6172884146.

Subtracting from 172040 its reverse (40271), we obtain a square (131769 = 3632).

The spelling of 172040 in words is "one hundred seventy-two thousand, forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 17 20 22 23 34 40 44 46 55 68 85 88 92 110 115 136 170 184 187 220 230 253 340 374 391 440 460 506 680 748 782 920 935 1012 1265 1496 1564 1870 1955 2024 2530 3128 3740 3910 4301 5060 7480 7820 8602 10120 15640 17204 21505 34408 43010 86020 172040