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172000480 = 2556117623
BaseRepresentation
bin10100100000010…
…00010011100000
3102222122112022011
422100020103200
5323013003410
625022322304
74155660061
oct1220102340
9388575264
10172000480
11890a9563
1249729394
1329832a42
1418bb4568
151017818a
hexa4084e0

172000480 has 48 divisors (see below), whose sum is σ = 413036064. Its totient is φ = 67668480.

The previous prime is 172000471. The next prime is 172000487. The reversal of 172000480 is 84000271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172000487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949 + ... + 18571.

It is an arithmetic number, because the mean of its divisors is an integer number (8604918).

Almost surely, 2172000480 is an apocalyptic number.

172000480 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 172000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206518032).

172000480 is an abundant number, since it is smaller than the sum of its proper divisors (241035584).

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

172000480 is a wasteful number, since it uses less digits than its factorization.

172000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17699 (or 17691 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 172000480 is about 13114.8953484197. The cubic root of 172000480 is about 556.1302939817.

The spelling of 172000480 in words is "one hundred seventy-two million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 17623 35246 70492 88115 140984 176230 281968 352460 563936 704920 1075003 1409840 2150006 2819680 4300012 5375015 8600024 10750030 17200048 21500060 34400096 43000120 86000240 172000480