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163745640 = 23325454849
BaseRepresentation
bin10011100001010…
…00111101101000
3102102010010210100
421300220331220
5313404330030
624125345400
74025546352
oct1160507550
9372103710
10163745640
1184480583
1246a08260
1327c02616
1417a660d2
15e597360
hex9c28f68

163745640 has 48 divisors (see below), whose sum is σ = 532174500. Its totient is φ = 43665408.

The previous prime is 163745599. The next prime is 163745653. The reversal of 163745640 is 46547361.

It is a happy number.

163745640 is a `hidden beast` number, since 1 + 6 + 3 + 7 + 4 + 5 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148206276 + 15539364 = 12174^2 + 3942^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 163745595 and 163745604.

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 11 ways as a sum of consecutive naturals, for example, 227065 + ... + 227784.

Almost surely, 2163745640 is an apocalyptic number.

163745640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163745640 is an abundant number, since it is smaller than the sum of its proper divisors (368428860).

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

163745640 is a wasteful number, since it uses less digits than its factorization.

163745640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454866 (or 454859 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 163745640 is about 12796.3135316387. The cubic root of 163745640 is about 547.0872350224.

The spelling of 163745640 in words is "one hundred sixty-three million, seven hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 454849 909698 1364547 1819396 2274245 2729094 3638792 4093641 4548490 5458188 6822735 8187282 9096980 10916376 13645470 16374564 18193960 20468205 27290940 32749128 40936410 54581880 81872820 163745640