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980468160 = 26357145903
BaseRepresentation
bin111010011100001…
…100000111000000
32112022220221110120
4322130030013000
54001444440120
6241142500240
733203561520
oct7234140700
92468827416
10980468160
114634a3271
12234434680
1312818bb99
1494305680
155b124140
hex3a70c1c0

980468160 has 112 divisors (see below), whose sum is σ = 3557723136. Its totient is φ = 224105472.

The previous prime is 980468129. The next prime is 980468171. The reversal of 980468160 is 61864089.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×9804681602 = 1922635625547571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 66232 + ... + 79671.

Almost surely, 2980468160 is an apocalyptic number.

It is an amenable number.

980468160 is an abundant number, since it is smaller than the sum of its proper divisors (2577254976).

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

980468160 is a wasteful number, since it uses less digits than its factorization.

980468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145930 (or 145920 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 980468160 is about 31312.4282035105. The cubic root of 980468160 is about 993.4465325504.

The spelling of 980468160 in words is "nine hundred eighty million, four hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 145903 291806 437709 583612 729515 875418 1021321 1167224 1459030 1750836 2042642 2188545 2334448 2918060 3063963 3501672 4085284 4377090 4668896 5106605 5836120 6127926 7003344 8170568 8754180 9337792 10213210 11672240 12255852 14006688 15319815 16341136 17508360 20426420 23344480 24511704 28013376 30639630 32682272 35016720 40852840 46688960 49023408 61279260 65364544 70033440 81705680 98046816 122558520 140066880 163411360 196093632 245117040 326822720 490234080 980468160