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163316640 = 25351133011
BaseRepresentation
bin10011011110000…
…00001110100000
3102101022100022110
421233000032200
5313302113030
624112235320
74022111544
oct1157001640
9371270273
10163316640
1184208233
124683bb40
1327ab2286
1417993a24
15e5101b0
hex9bc03a0

163316640 has 96 divisors (see below), whose sum is σ = 519172416. Its totient is φ = 43151360.

The previous prime is 163316611. The next prime is 163316683. The reversal of 163316640 is 46613361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 163316598 and 163316607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52735 + ... + 55745.

It is an arithmetic number, because the mean of its divisors is an integer number (5408046).

Almost surely, 2163316640 is an apocalyptic number.

163316640 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 163316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259586208).

163316640 is an abundant number, since it is smaller than the sum of its proper divisors (355855776).

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

163316640 is a wasteful number, since it uses less digits than its factorization.

163316640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 163316640 is about 12779.5398978210. The cubic root of 163316640 is about 546.6090427727.

The spelling of 163316640 in words is "one hundred sixty-three million, three hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2260 2712 3011 3390 3616 4520 5424 6022 6780 9033 9040 10848 12044 13560 15055 18066 18080 24088 27120 30110 36132 45165 48176 54240 60220 72264 90330 96352 120440 144528 180660 240880 289056 340243 361320 481760 680486 722640 1020729 1360972 1445280 1701215 2041458 2721944 3402430 4082916 5103645 5443888 6804860 8165832 10207290 10887776 13609720 16331664 20414580 27219440 32663328 40829160 54438880 81658320 163316640