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171420096 = 2631137901
BaseRepresentation
bin10100011011110…
…10100111000000
3102221120001011110
422031322213000
5322340420341
625002043320
74151022021
oct1215724700
9387501143
10171420096
1188842501
12494a9540
132968b813
1418aa2c48
15100b1216
hexa37a9c0

171420096 has 56 divisors (see below), whose sum is σ = 457620624. Its totient is φ = 56627200.

The previous prime is 171420089. The next prime is 171420107. The reversal of 171420096 is 690024171.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17746 + ... + 25646.

Almost surely, 2171420096 is an apocalyptic number.

171420096 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 171420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228810312).

171420096 is an abundant number, since it is smaller than the sum of its proper divisors (286200528).

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

171420096 is a wasteful number, since it uses less digits than its factorization.

171420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8029 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 171420096 is about 13092.7497493842. The cubic root of 171420096 is about 555.5040692790.

The spelling of 171420096 in words is "one hundred seventy-one million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 5424 7232 7901 10848 15802 21696 23703 31604 47406 63208 94812 126416 189624 252832 379248 505664 758496 892813 1516992 1785626 2678439 3571252 5356878 7142504 10713756 14285008 21427512 28570016 42855024 57140032 85710048 171420096