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117185640 = 233511136829
BaseRepresentation
bin1101111110000…
…01110001101000
322011111122110220
412333001301220
5214444420030
615343410040
72622030045
oct677016150
9264448426
10117185640
116016a340
12332b3920
131b37cc20
14117c61cc
15a44ba10
hex6fc1c68

117185640 has 128 divisors (see below), whose sum is σ = 413078400. Its totient is φ = 26219520.

The previous prime is 117185609. The next prime is 117185687. The reversal of 117185640 is 46581711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 13746 + ... + 20574.

It is an arithmetic number, because the mean of its divisors is an integer number (3227175).

Almost surely, 2117185640 is an apocalyptic number.

117185640 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 117185640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206539200).

117185640 is an abundant number, since it is smaller than the sum of its proper divisors (295892760).

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

117185640 is a wasteful number, since it uses less digits than its factorization.

117185640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6867 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 117185640 is about 10825.2316372445. The cubic root of 117185640 is about 489.3558660999.

The spelling of 117185640 in words is "one hundred seventeen million, one hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 6829 8580 13658 17160 20487 27316 34145 40974 54632 68290 75119 81948 88777 102435 136580 150238 163896 177554 204870 225357 266331 273160 300476 355108 375595 409740 443885 450714 532662 600952 710216 751190 819480 887770 901428 976547 1065324 1126785 1331655 1502380 1775540 1802856 1953094 2130648 2253570 2663310 2929641 3004760 3551080 3906188 4507140 4882735 5326620 5859282 7812376 9014280 9765470 10653240 11718564 14648205 19530940 23437128 29296410 39061880 58592820 117185640