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115480960 = 2757149173
BaseRepresentation
bin1101110001000…
…01100110000000
322001022001002121
412320201212000
5214030342320
615243054024
72601400120
oct670414600
9261261077
10115480960
115a205611
1232811314
131ac0403a
14114a0c80
15a2118aa
hex6e21980

115480960 has 128 divisors (see below), whose sum is σ = 319464000. Its totient is φ = 39100416.

The previous prime is 115480943. The next prime is 115481027. The reversal of 115480960 is 69084511.

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, 667434 + ... + 667606.

Almost surely, 2115480960 is an apocalyptic number.

115480960 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 115480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159732000).

115480960 is an abundant number, since it is smaller than the sum of its proper divisors (203983040).

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

115480960 is a wasteful number, since it uses less digits than its factorization.

115480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 115480960 is about 10746.2067726245. The cubic root of 115480960 is about 486.9714068949.

The spelling of 115480960 in words is "one hundred fifteen million, four hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 149 160 173 224 280 298 320 346 448 560 596 640 692 745 865 896 1043 1120 1192 1211 1384 1490 1730 2086 2240 2384 2422 2768 2980 3460 4172 4480 4768 4844 5215 5536 5960 6055 6920 8344 9536 9688 10430 11072 11920 12110 13840 16688 19072 19376 20860 22144 23840 24220 25777 27680 33376 38752 41720 47680 48440 51554 55360 66752 77504 83440 95360 96880 103108 110720 128885 133504 155008 166880 180439 193760 206216 257770 333760 360878 387520 412432 515540 667520 721756 775040 824864 902195 1031080 1443512 1649728 1804390 2062160 2887024 3299456 3608780 4124320 5774048 7217560 8248640 11548096 14435120 16497280 23096192 28870240 57740480 115480960