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116661520 = 24519234771
BaseRepresentation
bin1101111010000…
…01110100010000
322010112000112001
412331001310100
5214331132040
615324243344
72614415023
oct675016420
9263460461
10116661520
115a941588
12330a0554
131b2284b1
14116cb1ba
15a39659a
hex6f41d10

116661520 has 160 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 40803840.

The previous prime is 116661491. The next prime is 116661551. The reversal of 116661520 is 25166611.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643085 + ... + 1643155.

It is an arithmetic number, because the mean of its divisors is an integer number (1928448).

Almost surely, 2116661520 is an apocalyptic number.

116661520 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 116661520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

116661520 is an abundant number, since it is smaller than the sum of its proper divisors (191890160).

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

116661520 is a wasteful number, since it uses less digits than its factorization.

116661520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 116661520 is about 10800.9962503465. The cubic root of 116661520 is about 488.6252176306.

The spelling of 116661520 in words is "one hundred sixteen million, six hundred sixty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 47 71 76 80 92 94 95 115 142 152 184 188 190 230 235 284 304 355 368 376 380 437 460 470 568 710 752 760 874 893 920 940 1081 1136 1349 1420 1520 1633 1748 1786 1840 1880 2162 2185 2698 2840 3266 3337 3496 3572 3760 4324 4370 4465 5396 5405 5680 6532 6674 6745 6992 7144 8165 8648 8740 8930 10792 10810 13064 13348 13490 14288 16330 16685 17296 17480 17860 20539 21584 21620 26128 26696 26980 31027 32660 33370 34960 35720 41078 43240 53392 53960 62054 63403 65320 66740 71440 76751 82156 86480 102695 107920 124108 126806 130640 133480 153502 155135 164312 205390 248216 253612 266960 307004 310270 317015 328624 383755 410780 496432 507224 614008 620540 634030 767510 821560 1014448 1228016 1241080 1268060 1458269 1535020 1643120 2482160 2536120 2916538 3070040 5072240 5833076 6140080 7291345 11666152 14582690 23332304 29165380 58330760 116661520