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102161280 = 2735134093
BaseRepresentation
bin1100001011011…
…01101110000000
321010020022221010
412011231232000
5202123130110
614045400520
72350233204
oct605555600
9233208833
10102161280
1152738311
122a269140
131821c480
14d7d4b04
158e80020
hex616db80

102161280 has 128 divisors (see below), whose sum is σ = 350773920. Its totient is φ = 25141248.

The previous prime is 102161243. The next prime is 102161291. The reversal of 102161280 is 82161201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22914 + ... + 27006.

Almost surely, 2102161280 is an apocalyptic number.

102161280 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 102161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175386960).

102161280 is an abundant number, since it is smaller than the sum of its proper divisors (248612640).

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

102161280 is a wasteful number, since it uses less digits than its factorization.

102161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4116 counting only the distinct ones).

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

The square root of 102161280 is about 10107.4863343959. The cubic root of 102161280 is about 467.4790023646.

The spelling of 102161280 in words is "one hundred two million, one hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4093 4160 4992 6240 8186 8320 12279 12480 16372 20465 24558 24960 32744 40930 49116 53209 61395 65488 81860 98232 106418 122790 130976 159627 163720 196464 212836 245580 261952 266045 319254 327440 392928 425672 491160 523904 532090 638508 654880 785856 798135 851344 982320 1064180 1277016 1309760 1571712 1596270 1702688 1964640 2128360 2554032 2619520 3192540 3405376 3929280 4256720 5108064 6385080 6810752 7858560 8513440 10216128 12770160 17026880 20432256 25540320 34053760 51080640 102161280