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116444720 = 2457269773
BaseRepresentation
bin1101111000011…
…00111000110000
322010010000010102
412330030320300
5214302212340
615315451532
72612522660
oct674147060
9263100112
10116444720
115a803707
1232bb6ba8
131b180902
14116721a0
15a352215
hex6f0ce30

116444720 has 80 divisors (see below), whose sum is σ = 310962240. Its totient is φ = 39724032.

The previous prime is 116444689. The next prime is 116444723. The reversal of 116444720 is 27444611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (116444723) 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, 150254 + ... + 151026.

It is an arithmetic number, because the mean of its divisors is an integer number (3887028).

Almost surely, 2116444720 is an apocalyptic number.

116444720 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 116444720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155481120).

116444720 is an abundant number, since it is smaller than the sum of its proper divisors (194517520).

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

116444720 is a wasteful number, since it uses less digits than its factorization.

116444720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 116444720 is about 10790.9554720608. The cubic root of 116444720 is about 488.3223481657.

The spelling of 116444720 in words is "one hundred sixteen million, four hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 269 280 538 560 773 1076 1345 1546 1883 2152 2690 3092 3766 3865 4304 5380 5411 6184 7532 7730 9415 10760 10822 12368 15064 15460 18830 21520 21644 27055 30128 30920 37660 43288 54110 61840 75320 86576 108220 150640 207937 216440 415874 432880 831748 1039685 1455559 1663496 2079370 2911118 3326992 4158740 5822236 7277795 8317480 11644472 14555590 16634960 23288944 29111180 58222360 116444720