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117142880 = 255838821
BaseRepresentation
bin1101111101101…
…11010101100000
322011102110211012
412332313111200
5214442033010
615342440052
72621461301
oct676672540
9264373735
10117142880
11601401a8
1233293028
131b36661a
14117b47a8
15a43e005
hex6fb7560

117142880 has 48 divisors (see below), whose sum is σ = 280116144. Its totient is φ = 46287360.

The previous prime is 117142877. The next prime is 117142891. The reversal of 117142880 is 88241711.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8870 + ... + 17690.

It is an arithmetic number, because the mean of its divisors is an integer number (5835753).

Almost surely, 2117142880 is an apocalyptic number.

117142880 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 117142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140058072).

117142880 is an abundant number, since it is smaller than the sum of its proper divisors (162973264).

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

117142880 is an equidigital number, since it uses as much as digits as its factorization.

117142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919 (or 8911 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 117142880 is about 10823.2564415706. The cubic root of 117142880 is about 489.2963383215.

The spelling of 117142880 in words is "one hundred seventeen million, one hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 8821 13280 17642 35284 44105 70568 88210 141136 176420 282272 352840 705680 732143 1411360 1464286 2928572 3660715 5857144 7321430 11714288 14642860 23428576 29285720 58571440 117142880