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172076320 = 2551382729
BaseRepresentation
bin10100100000110…
…10110100100000
3102222210101100001
422100122310200
5323022420240
625024105344
74156424143
oct1220326440
9388711301
10172076320
1189150539
1249765254
132985b410
1418bd405a
151019089a
hexa41ad20

172076320 has 48 divisors (see below), whose sum is σ = 437807160. Its totient is φ = 63535104.

The previous prime is 172076309. The next prime is 172076323. The reversal of 172076320 is 23670271.

It can be written as a sum of positive squares in 4 ways, for example, as 99281296 + 72795024 = 9964^2 + 8532^2 .

It is a super-2 number, since 2×1720763202 = 59220519809484800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172076323) 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, 39285 + ... + 43444.

Almost surely, 2172076320 is an apocalyptic number.

172076320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172076320 is an abundant number, since it is smaller than the sum of its proper divisors (265730840).

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

172076320 is a wasteful number, since it uses less digits than its factorization.

172076320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82757 (or 82749 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 172076320 is about 13117.7863986269. The cubic root of 172076320 is about 556.2120199629.

The spelling of 172076320 in words is "one hundred seventy-two million, seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 82729 165458 330916 413645 661832 827290 1075477 1323664 1654580 2150954 2647328 3309160 4301908 5377385 6618320 8603816 10754770 13236640 17207632 21509540 34415264 43019080 86038160 172076320