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117978240 = 2735431429
BaseRepresentation
bin1110000100000…
…11010010000000
322012222220201110
413002003102000
5220200300430
615412403320
72631540612
oct702032200
9265886643
10117978240
1160660886
1233616540
131b599913
1411950db2
15a5567b0
hex7083480

117978240 has 128 divisors (see below), whose sum is σ = 385070400. Its totient is φ = 30707712.

The previous prime is 117978233. The next prime is 117978241. The reversal of 117978240 is 42879711.

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

It is a super-2 number, since 2×1179782402 = 27837730226995200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117978241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81846 + ... + 83274.

Almost surely, 2117978240 is an apocalyptic number.

117978240 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 117978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192535200).

117978240 is an abundant number, since it is smaller than the sum of its proper divisors (267092160).

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

117978240 is a wasteful number, since it uses less digits than its factorization.

117978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 117978240 is about 10861.7788598369. The cubic root of 117978240 is about 490.4566616010.

The spelling of 117978240 in words is "one hundred seventeen million, nine hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 258 320 344 384 430 480 516 640 645 688 860 960 1032 1290 1376 1429 1720 1920 2064 2580 2752 2858 3440 4128 4287 5160 5504 5716 6880 7145 8256 8574 10320 11432 13760 14290 16512 17148 20640 21435 22864 27520 28580 34296 41280 42870 45728 57160 61447 68592 82560 85740 91456 114320 122894 137184 171480 182912 184341 228640 245788 274368 307235 342960 368682 457280 491576 548736 614470 685920 737364 914560 921705 983152 1228940 1371840 1474728 1843410 1966304 2457880 2743680 2949456 3686820 3932608 4915760 5898912 7373640 7865216 9831520 11797824 14747280 19663040 23595648 29494560 39326080 58989120 117978240