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115868880 = 2434517881
BaseRepresentation
bin1101110100000…
…00010011010000
322002000202020000
412322000103100
5214130301010
615255250000
72604604101
oct672002320
9262022200
10115868880
115a450006
1232979900
131b00b78a
14115623a8
15a28b7c0
hex6e804d0

115868880 has 100 divisors (see below), whose sum is σ = 402452292. Its totient is φ = 30896640.

The previous prime is 115868869. The next prime is 115868881. The reversal of 115868880 is 88868511.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 73410624 = 6516^2 + 8568^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115868881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2461 + ... + 15420.

Almost surely, 2115868880 is an apocalyptic number.

115868880 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 115868880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201226146).

115868880 is an abundant number, since it is smaller than the sum of its proper divisors (286583412).

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

115868880 is a wasteful number, since it uses less digits than its factorization.

115868880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17906 (or 17891 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The square root of 115868880 is about 10764.2407999821. The cubic root of 115868880 is about 487.5160704761.

The spelling of 115868880 in words is "one hundred fifteen million, eight hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 17881 35762 53643 71524 89405 107286 143048 160929 178810 214572 268215 286096 321858 357620 429144 482787 536430 643716 715240 804645 858288 965574 1072860 1287432 1430480 1448361 1609290 1931148 2145720 2413935 2574864 2896722 3218580 3862296 4291440 4827870 5793444 6437160 7241805 7724592 9655740 11586888 12874320 14483610 19311480 23173776 28967220 38622960 57934440 115868880