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116178080 = 2553159397
BaseRepresentation
bin1101110110010…
…11110010100000
322002121110100212
412323023302200
5214220144310
615310033252
72610332414
oct673136240
9262543325
10116178080
115a641347
1232aa8828
131b0b9435
1411602d44
15a2ed205
hex6ecbca0

116178080 has 96 divisors (see below), whose sum is σ = 288852480. Its totient is φ = 44098560.

The previous prime is 116178061. The next prime is 116178107. The reversal of 116178080 is 80871611.

116178080 = T309 + T310 + ... + T898.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292442 + ... + 292838.

It is an arithmetic number, because the mean of its divisors is an integer number (3008880).

Almost surely, 2116178080 is an apocalyptic number.

116178080 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 116178080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144426240).

116178080 is an abundant number, since it is smaller than the sum of its proper divisors (172674400).

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

116178080 is a wasteful number, since it uses less digits than its factorization.

116178080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The square root of 116178080 is about 10778.5936002801. The cubic root of 116178080 is about 487.9493363152.

The spelling of 116178080 in words is "one hundred sixteen million, one hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 59 62 80 118 124 155 160 236 248 295 310 397 472 496 590 620 794 944 992 1180 1240 1588 1829 1888 1985 2360 2480 3176 3658 3970 4720 4960 6352 7316 7940 9145 9440 12307 12704 14632 15880 18290 23423 24614 29264 31760 36580 46846 49228 58528 61535 63520 73160 93692 98456 117115 123070 146320 187384 196912 234230 246140 292640 374768 393824 468460 492280 726113 749536 936920 984560 1452226 1873840 1969120 2904452 3630565 3747680 5808904 7261130 11617808 14522260 23235616 29044520 58089040 116178080