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116513040 = 24357223311
BaseRepresentation
bin1101111000111…
…01100100010000
322010020110211210
412330131210100
5214311404130
615321140120
72613226110
oct674354420
9263213753
10116513040
115a84aa76
123302a640
131b1a5a37
141168d040
15a3675b0
hex6f1d910

116513040 has 160 divisors (see below), whose sum is σ = 415973376. Its totient is φ = 26426880.

The previous prime is 116513017. The next prime is 116513041. The reversal of 116513040 is 40315611.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 116512998 and 116513016.

It is not an unprimeable number, because it can be changed into a prime (116513041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374485 + ... + 374795.

Almost surely, 2116513040 is an apocalyptic number.

116513040 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 116513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207986688).

116513040 is an abundant number, since it is smaller than the sum of its proper divisors (299460336).

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

116513040 is a wasteful number, since it uses less digits than its factorization.

116513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 116513040 is about 10794.1206218941. The cubic root of 116513040 is about 488.4178317000.

Adding to 116513040 its reverse (40315611), we get a palindrome (156828651).

The spelling of 116513040 in words is "one hundred sixteen million, five hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 223 240 280 311 336 420 446 560 622 669 840 892 933 1115 1244 1338 1555 1561 1680 1784 1866 2177 2230 2488 2676 3110 3122 3345 3568 3732 4354 4460 4665 4683 4976 5352 6220 6244 6531 6690 7464 7805 8708 8920 9330 9366 10704 10885 12440 12488 13062 13380 14928 15610 17416 17840 18660 18732 21770 23415 24880 24976 26124 26760 31220 32655 34832 37320 37464 43540 46830 52248 53520 62440 65310 69353 74640 74928 87080 93660 104496 124880 130620 138706 174160 187320 208059 261240 277412 346765 374640 416118 485471 522480 554824 693530 832236 970942 1040295 1109648 1387060 1456413 1664472 1941884 2080590 2427355 2774120 2912826 3328944 3883768 4161180 4854710 5548240 5825652 7282065 7767536 8322360 9709420 11651304 14564130 16644720 19418840 23302608 29128260 38837680 58256520 116513040