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116172720 = 24325473433
BaseRepresentation
bin1101110110010…
…10011110110000
322002121012000100
412323022132300
5214220011340
615305552400
72610310656
oct673123660
9262535010
10116172720
115a638314
1232aa5700
131b0b6b71
1411600dd6
15a2eb830
hex6eca7b0

116172720 has 120 divisors (see below), whose sum is σ = 398563776. Its totient is φ = 30311424.

The previous prime is 116172697. The next prime is 116172737. The reversal of 116172720 is 27271611.

116172720 is a `hidden beast` number, since 1 + 1 + 617 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1161727202 = 26992201744396800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32124 + ... + 35556.

Almost surely, 2116172720 is an apocalyptic number.

116172720 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 116172720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199281888).

116172720 is an abundant number, since it is smaller than the sum of its proper divisors (282391056).

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

116172720 is a wasteful number, since it uses less digits than its factorization.

116172720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 116172720 is about 10778.3449564393. The cubic root of 116172720 is about 487.9418321782.

The spelling of 116172720 in words is "one hundred sixteen million, one hundred seventy-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3433 3760 4230 5640 6768 6866 8460 10299 11280 13732 16920 17165 20598 27464 30897 33840 34330 41196 51495 54928 61794 68660 82392 102990 123588 137320 154485 161351 164784 205980 247176 274640 308970 322702 411960 484053 494352 617940 645404 806755 823920 968106 1235880 1290808 1452159 1613510 1936212 2420265 2471760 2581616 2904318 3227020 3872424 4840530 5808636 6454040 7260795 7744848 9681060 11617272 12908080 14521590 19362120 23234544 29043180 38724240 58086360 116172720