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168100140 = 223513613533
BaseRepresentation
bin10100000010100…
…00000100101100
3102201022101001010
422001100010230
5321013201030
624402545220
74110553605
oct1201200454
9381271033
10168100140
118698513a
1248368210
1328a98650
141847adac
15eb576b0
hexa05012c

168100140 has 96 divisors (see below), whose sum is σ = 515342016. Its totient is φ = 40688640.

The previous prime is 168100109. The next prime is 168100147. The reversal of 168100140 is 41001861.

It is not an unprimeable number, because it can be changed into a prime (168100147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45814 + ... + 49346.

It is an arithmetic number, because the mean of its divisors is an integer number (5368146).

Almost surely, 2168100140 is an apocalyptic number.

168100140 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 168100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257671008).

168100140 is an abundant number, since it is smaller than the sum of its proper divisors (347241876).

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

168100140 is a wasteful number, since it uses less digits than its factorization.

168100140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 168100140 is about 12965.3438056999. The cubic root of 168100140 is about 551.8944478918.

The spelling of 168100140 in words is "one hundred sixty-eight million, one hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 61 65 78 122 130 156 183 195 244 260 305 366 390 610 732 780 793 915 1220 1586 1830 2379 3172 3533 3660 3965 4758 7066 7930 9516 10599 11895 14132 15860 17665 21198 23790 35330 42396 45929 47580 52995 70660 91858 105990 137787 183716 211980 215513 229645 275574 431026 459290 551148 646539 688935 862052 918580 1077565 1293078 1377870 2155130 2586156 2755740 2801669 3232695 4310260 5603338 6465390 8405007 11206676 12930780 14008345 16810014 28016690 33620028 42025035 56033380 84050070 168100140