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117520680 = 23354767311
BaseRepresentation
bin1110000000100…
…11100100101000
322012010200001210
413000103210220
5220041130210
615354513120
72624623614
oct700234450
9265120053
10117520680
1160379032
12334357a0
131b469584
1411872344
15a4b5e20
hex7013928

117520680 has 128 divisors (see below), whose sum is σ = 366612480. Its totient is φ = 30117120.

The previous prime is 117520657. The next prime is 117520693. The reversal of 117520680 is 86025711.

It is a super-2 number, since 2×1175206802 = 27622220455324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 377725 + ... + 378035.

It is an arithmetic number, because the mean of its divisors is an integer number (2864160).

Almost surely, 2117520680 is an apocalyptic number.

117520680 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 117520680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183306240).

117520680 is an abundant number, since it is smaller than the sum of its proper divisors (249091800).

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

117520680 is a wasteful number, since it uses less digits than its factorization.

117520680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 117520680 is about 10840.6955496407. The cubic root of 117520680 is about 489.8217871980.

The spelling of 117520680 in words is "one hundred seventeen million, five hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 67 94 120 134 141 188 201 235 268 282 311 335 376 402 470 536 564 622 670 705 804 933 940 1005 1128 1244 1340 1410 1555 1608 1866 1880 2010 2488 2680 2820 3110 3149 3732 4020 4665 5640 6220 6298 7464 8040 9330 9447 12440 12596 14617 15745 18660 18894 20837 25192 29234 31490 37320 37788 41674 43851 47235 58468 62511 62980 73085 75576 83348 87702 94470 104185 116936 125022 125960 146170 166696 175404 188940 208370 219255 250044 292340 312555 350808 377880 416740 438510 500088 584680 625110 833480 877020 979339 1250220 1754040 1958678 2500440 2938017 3917356 4896695 5876034 7834712 9793390 11752068 14690085 19586780 23504136 29380170 39173560 58760340 117520680