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118007040 = 283579389
BaseRepresentation
bin1110000100010…
…10010100000000
322020001101020010
413002022110000
5220202211130
615413144520
72632020564
oct702122400
9266041203
10118007040
1160680488
123362b140
131b5a9a68
141195b6a4
15a5600b0
hex708a500

118007040 has 144 divisors (see below), whose sum is σ = 382636800. Its totient is φ = 30990336.

The previous prime is 118007017. The next prime is 118007051. The reversal of 118007040 is 40700811.

It is a super-2 number, since 2×1180070402 = 27851322979123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 118006998 and 118007016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303166 + ... + 303554.

It is an arithmetic number, because the mean of its divisors is an integer number (2657200).

Almost surely, 2118007040 is an apocalyptic number.

118007040 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 118007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191318400).

118007040 is an abundant number, since it is smaller than the sum of its proper divisors (264629760).

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

118007040 is an equidigital number, since it uses as much as digits as its factorization.

118007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 118007040 is about 10863.1045286327. The cubic root of 118007040 is about 490.4965672724.

Adding to 118007040 its reverse (40700811), we get a palindrome (158707851).

The spelling of 118007040 in words is "one hundred eighteen million, seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 128 158 160 192 237 240 256 316 320 384 389 395 474 480 632 640 768 778 790 948 960 1167 1185 1264 1280 1556 1580 1896 1920 1945 2334 2370 2528 3112 3160 3792 3840 3890 4668 4740 5056 5835 6224 6320 7584 7780 9336 9480 10112 11670 12448 12640 15168 15560 18672 18960 20224 23340 24896 25280 30336 30731 31120 37344 37920 46680 49792 50560 60672 61462 62240 74688 75840 92193 93360 99584 101120 122924 124480 149376 151680 153655 184386 186720 245848 248960 298752 303360 307310 368772 373440 460965 491696 497920 614620 737544 746880 921930 983392 1229240 1475088 1493760 1843860 1966784 2458480 2950176 3687720 3933568 4916960 5900352 7375440 7867136 9833920 11800704 14750880 19667840 23601408 29501760 39335680 59003520 118007040