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172123640 = 235131719471
BaseRepresentation
bin10100100001001…
…10010111111000
3102222212210020122
422100212113320
5323030424030
625025112412
74160012123
oct1220462770
9388783218
10172123640
1189183047
1249788708
1329876b10
1418c073ba
151019e8e5
hexa4265f8

172123640 has 64 divisors (see below), whose sum is σ = 441624960. Its totient is φ = 59811840.

The previous prime is 172123631. The next prime is 172123643. The reversal of 172123640 is 46321271.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172123643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896 + ... + 18575.

It is an arithmetic number, because the mean of its divisors is an integer number (6900390).

Almost surely, 2172123640 is an apocalyptic number.

172123640 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 172123640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220812480).

172123640 is an abundant number, since it is smaller than the sum of its proper divisors (269501320).

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

172123640 is a wasteful number, since it uses less digits than its factorization.

172123640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19512 (or 19508 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 172123640 is about 13119.5899326160. The cubic root of 172123640 is about 556.2630003274.

The spelling of 172123640 in words is "one hundred seventy-two million, one hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 19471 38942 77884 97355 155768 194710 253123 331007 389420 506246 662014 778840 1012492 1265615 1324028 1655035 2024984 2531230 2648056 3310070 4303091 5062460 6620140 8606182 10124920 13240280 17212364 21515455 34424728 43030910 86061820 172123640