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163138880 = 2654710847
BaseRepresentation
bin10011011100101…
…00110101000000
3102100222022110202
421232110311000
5313230421010
624104344332
74020441362
oct1156246500
9370868422
10163138880
11840a6723
12467750a8
1327a4c3a8
1417948d32
15e4c76a5
hex9b94d40

163138880 has 56 divisors (see below), whose sum is σ = 396776448. Its totient is φ = 63861248.

The previous prime is 163138853. The next prime is 163138889. The reversal of 163138880 is 88831361.

It is a super-2 number, since 2×1631388802 = 53228588335308800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163138889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9617 + ... + 20463.

Almost surely, 2163138880 is an apocalyptic number.

163138880 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 163138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198388224).

163138880 is an abundant number, since it is smaller than the sum of its proper divisors (233637568).

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

163138880 is a wasteful number, since it uses less digits than its factorization.

163138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10911 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 163138880 is about 12772.5831373297. The cubic root of 163138880 is about 546.4106541342.

The spelling of 163138880 in words is "one hundred sixty-three million, one hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1880 3008 3760 7520 10847 15040 21694 43388 54235 86776 108470 173552 216940 347104 433880 509809 694208 867760 1019618 1735520 2039236 2549045 3471040 4078472 5098090 8156944 10196180 16313888 20392360 32627776 40784720 81569440 163138880