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116583040 = 275753491
BaseRepresentation
bin1101111001011…
…10101010000000
322010101000212101
412330232222000
5214321124130
615322440144
72613640150
oct674565200
9263330771
10116583040
115a898622
1233063054
131b1cb862
14116aa760
15a37d1ca
hex6f2ea80

116583040 has 128 divisors (see below), whose sum is σ = 325192320. Its totient is φ = 39137280.

The previous prime is 116583013. The next prime is 116583043. The reversal of 116583040 is 40385611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (116583043) 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 15 ways as a sum of consecutive naturals, for example, 237195 + ... + 237685.

It is an arithmetic number, because the mean of its divisors is an integer number (2540565).

Almost surely, 2116583040 is an apocalyptic number.

116583040 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 116583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162596160).

116583040 is an abundant number, since it is smaller than the sum of its proper divisors (208609280).

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

116583040 is an equidigital number, since it uses as much as digits as its factorization.

116583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 116583040 is about 10797.3626409415. The cubic root of 116583040 is about 488.5156244839.

The spelling of 116583040 in words is "one hundred sixteen million, five hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 128 140 160 212 224 265 280 320 371 424 448 491 530 560 640 742 848 896 982 1060 1120 1484 1696 1855 1964 2120 2240 2455 2968 3392 3437 3710 3928 4240 4480 4910 5936 6784 6874 7420 7856 8480 9820 11872 13748 14840 15712 16960 17185 19640 23744 26023 27496 29680 31424 33920 34370 39280 47488 52046 54992 59360 62848 68740 78560 104092 109984 118720 130115 137480 157120 182161 208184 219968 237440 260230 274960 314240 364322 416368 439936 520460 549920 728644 832736 910805 1040920 1099840 1457288 1665472 1821610 2081840 2199680 2914576 3330944 3643220 4163680 5829152 7286440 8327360 11658304 14572880 16654720 23316608 29145760 58291520 116583040