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172054016 = 29714733
BaseRepresentation
bin10100100000101…
…01011000000000
3102222202020201222
422100111120000
5323021212031
625023414212
74156302131
oct1220253000
9388666658
10172054016
1189135802
1249754368
1329851214
1418bc9c88
1510188e7b
hexa415600

172054016 has 40 divisors (see below), whose sum is σ = 348687504. Its totient is φ = 84797440.

The previous prime is 172054009. The next prime is 172054019. The reversal of 172054016 is 610450271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172054019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33986 + ... + 38718.

Almost surely, 2172054016 is an apocalyptic number.

172054016 is a gapful number since it is divisible by the number (16) 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 172054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174343752).

172054016 is an abundant number, since it is smaller than the sum of its proper divisors (176633488).

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

172054016 is an frugal number, since it uses more digits than its factorization.

172054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 172054016 is about 13116.9362276410. The cubic root of 172054016 is about 556.1879874310.

The spelling of 172054016 in words is "one hundred seventy-two million, fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1136 2272 4544 4733 9088 9466 18176 18932 36352 37864 75728 151456 302912 336043 605824 672086 1211648 1344172 2423296 2688344 5376688 10753376 21506752 43013504 86027008 172054016