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116795880 = 23325412193
BaseRepresentation
bin1101111011000…
…10100111101000
322010202211211100
412331202213220
5214344432010
615331201400
72615514525
oct675424750
9263684740
10116795880
115aa23523
1233146260
131b2746b6
141172414c
15a3c12c0
hex6f629e8

116795880 has 144 divisors (see below), whose sum is σ = 391086540. Its totient is φ = 30228480.

The previous prime is 116795873. The next prime is 116795881. The reversal of 116795880 is 88597611.

116795880 is a `hidden beast` number, since 1 + 1 + 67 + 9 + 588 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26244 + 116769636 = 162^2 + 10806^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (116795881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 605064 + ... + 605256.

Almost surely, 2116795880 is an apocalyptic number.

116795880 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 116795880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195543270).

116795880 is an abundant number, since it is smaller than the sum of its proper divisors (274290660).

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

116795880 is a wasteful number, since it uses less digits than its factorization.

116795880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 116795880 is about 10807.2142571525. The cubic root of 116795880 is about 488.8127301783.

The spelling of 116795880 in words is "one hundred sixteen million, seven hundred ninety-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 193 205 246 328 360 369 386 410 492 579 615 738 772 820 965 984 1158 1230 1476 1544 1640 1681 1737 1845 1930 2316 2460 2895 2952 3362 3474 3690 3860 4632 4920 5043 5790 6724 6948 7380 7720 7913 8405 8685 10086 11580 13448 13896 14760 15129 15826 16810 17370 20172 23160 23739 25215 30258 31652 33620 34740 39565 40344 47478 50430 60516 63304 67240 69480 71217 75645 79130 94956 100860 118695 121032 142434 151290 158260 189912 201720 237390 284868 302580 316520 324433 356085 474780 569736 605160 648866 712170 949560 973299 1297732 1424340 1622165 1946598 2595464 2848680 2919897 3244330 3893196 4866495 5839794 6488660 7786392 9732990 11679588 12977320 14599485 19465980 23359176 29198970 38931960 58397940 116795880