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117872040 = 233511136869
BaseRepresentation
bin1110000011010…
…01010110101000
322012210112001010
413001221112220
5220133401130
615410223520
72630616156
oct701512650
9265715033
10117872040
1160599010
1233584ba0
131b560490
14119243d6
15a5350b0
hex70695a8

117872040 has 128 divisors (see below), whose sum is σ = 415497600. Its totient is φ = 26373120.

The previous prime is 117872039. The next prime is 117872059. The reversal of 117872040 is 40278711.

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 = 117871989 and 117872007.

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, 13726 + ... + 20594.

It is an arithmetic number, because the mean of its divisors is an integer number (3246075).

Almost surely, 2117872040 is an apocalyptic number.

117872040 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 117872040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207748800).

117872040 is an abundant number, since it is smaller than the sum of its proper divisors (297625560).

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

117872040 is a wasteful number, since it uses less digits than its factorization.

117872040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 117872040 is about 10856.8890571839. The cubic root of 117872040 is about 490.3094532850.

The spelling of 117872040 in words is "one hundred seventeen million, eight hundred seventy-two thousand, 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 6869 8580 13738 17160 20607 27476 34345 41214 54952 68690 75559 82428 89297 103035 137380 151118 164856 178594 206070 226677 267891 274760 302236 357188 377795 412140 446485 453354 535782 604472 714376 755590 824280 892970 906708 982267 1071564 1133385 1339455 1511180 1785940 1813416 1964534 2143128 2266770 2678910 2946801 3022360 3571880 3929068 4533540 4911335 5357820 5893602 7858136 9067080 9822670 10715640 11787204 14734005 19645340 23574408 29468010 39290680 58936020 117872040