Search a number
-
+
117713640 = 233511467
BaseRepresentation
bin1110000010000…
…10101011101000
322012111110202110
413001002223220
5220113314030
615403002320
72626356312
oct701025350
9265443673
10117713640
11604a0000
12335093a0
131b506355
14118c27b2
15a5031b0
hex7042ae8

117713640 has 160 divisors (see below), whose sum is σ = 394250400. Its totient is φ = 28110720.

The previous prime is 117713623. The next prime is 117713677. The reversal of 117713640 is 46317711.

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

It is a junction number, because it is equal to n+sod(n) for n = 117713598 and 117713607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1756887 + ... + 1756953.

It is an arithmetic number, because the mean of its divisors is an integer number (2464065).

Almost surely, 2117713640 is an apocalyptic number.

117713640 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 117713640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197125200).

117713640 is an abundant number, since it is smaller than the sum of its proper divisors (276536760).

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

117713640 is an equidigital number, since it uses as much as digits as its factorization.

117713640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 117713640 is about 10849.5916973866. The cubic root of 117713640 is about 490.0897239556.

The spelling of 117713640 in words is "one hundred seventeen million, seven hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 121 132 134 165 201 220 242 264 268 330 335 363 402 440 484 536 605 660 670 726 737 804 968 1005 1210 1320 1331 1340 1452 1474 1608 1815 2010 2211 2420 2662 2680 2904 2948 3630 3685 3993 4020 4422 4840 5324 5896 6655 7260 7370 7986 8040 8107 8844 10648 11055 13310 14520 14641 14740 15972 16214 17688 19965 22110 24321 26620 29282 29480 31944 32428 39930 40535 43923 44220 48642 53240 58564 64856 73205 79860 81070 87846 88440 89177 97284 117128 121605 146410 159720 162140 175692 178354 194568 219615 243210 267531 292820 324280 351384 356708 439230 445885 486420 535062 585640 713416 878460 891770 972840 980947 1070124 1337655 1756920 1783540 1961894 2140248 2675310 2942841 3567080 3923788 4904735 5350620 5885682 7847576 9809470 10701240 11771364 14714205 19618940 23542728 29428410 39237880 58856820 117713640