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115078480 = 24511251521
BaseRepresentation
bin1101101101111…
…11010101010000
322000112120222221
412312333111100
5213430002410
615230310424
72565102526
oct666772520
9260476887
10115078480
1159a60190
1232658414
131aac2a9a
14113d8316
15a1824da
hex6dbf550

115078480 has 80 divisors (see below), whose sum is σ = 293606208. Its totient is φ = 41600000.

The previous prime is 115078477. The next prime is 115078487. The reversal of 115078480 is 84870511.

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

It is a super-2 number, since 2×1150784802 = 26486113118220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115078487) 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, 220620 + ... + 221140.

Almost surely, 2115078480 is an apocalyptic number.

115078480 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 115078480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146803104).

115078480 is an abundant number, since it is smaller than the sum of its proper divisors (178527728).

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

115078480 is a wasteful number, since it uses less digits than its factorization.

115078480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 115078480 is about 10727.4638195615. The cubic root of 115078480 is about 486.4050093624.

The spelling of 115078480 in words is "one hundred fifteen million, seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 251 440 502 521 880 1004 1042 1255 2008 2084 2510 2605 2761 4016 4168 5020 5210 5522 5731 8336 10040 10420 11044 11462 13805 20080 20840 22088 22924 27610 28655 41680 44176 45848 55220 57310 91696 110440 114620 130771 220880 229240 261542 458480 523084 653855 1046168 1307710 1438481 2092336 2615420 2876962 5230840 5753924 7192405 10461680 11507848 14384810 23015696 28769620 57539240 115078480