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116671280 = 24511197673
BaseRepresentation
bin1101111010001…
…00001100110000
322010112111220112
412331010030300
5214331440110
615324400452
72614455335
oct675041460
9263474815
10116671280
115a948950
12330a6128
131b22ca7b
14116d098c
15a399405
hex6f44330

116671280 has 80 divisors (see below), whose sum is σ = 297864864. Its totient is φ = 42147840.

The previous prime is 116671279. The next prime is 116671283. The reversal of 116671280 is 82176611.

It is a happy number.

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

It is a super-2 number, since 2×1166712802 = 27224375153676800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116671283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173024 + ... + 173696.

Almost surely, 2116671280 is an apocalyptic number.

116671280 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 116671280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148932432).

116671280 is an abundant number, since it is smaller than the sum of its proper divisors (181193584).

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

116671280 is a wasteful number, since it uses less digits than its factorization.

116671280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 116671280 is about 10801.4480510717. The cubic root of 116671280 is about 488.6388435150.

The spelling of 116671280 in words is "one hundred sixteen million, six hundred seventy-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 197 220 394 440 673 788 880 985 1346 1576 1970 2167 2692 3152 3365 3940 4334 5384 6730 7403 7880 8668 10768 10835 13460 14806 15760 17336 21670 26920 29612 34672 37015 43340 53840 59224 74030 86680 118448 132581 148060 173360 265162 296120 530324 592240 662905 1060648 1325810 1458391 2121296 2651620 2916782 5303240 5833564 7291955 10606480 11667128 14583910 23334256 29167820 58335640 116671280