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172429960 = 23515727457
BaseRepresentation
bin10100100011100…
…01001010001000
3110000110100102211
422101301022020
5323120224320
625035434504
74162426153
oct1221611210
9400410384
10172429960
11893721aa
12498b5a34
1329953381
1418c86c9a
151021055a
hexa471288

172429960 has 32 divisors (see below), whose sum is σ = 390452760. Its totient is φ = 68530176.

The previous prime is 172429951. The next prime is 172429973. The reversal of 172429960 is 69924271.

It can be written as a sum of positive squares in 4 ways, for example, as 74063236 + 98366724 = 8606^2 + 9918^2 .

It is a super-2 number, since 2×1724299602 = 59464182211203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 7449 + ... + 20008.

Almost surely, 2172429960 is an apocalyptic number.

172429960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172429960 is an abundant number, since it is smaller than the sum of its proper divisors (218022800).

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

172429960 is a wasteful number, since it uses less digits than its factorization.

172429960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27625 (or 27621 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 172429960 is about 13131.2588886215. The cubic root of 172429960 is about 556.5927894278.

It can be divided in two parts, 1724 and 29960, that added together give a square (31684 = 1782).

The spelling of 172429960 in words is "one hundred seventy-two million, four hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 27457 54914 109828 137285 219656 274570 549140 1098280 4310749 8621498 17242996 21553745 34485992 43107490 86214980 172429960