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115630080 = 21335941
BaseRepresentation
bin1101110010001…
…10000000000000
322001120121122120
412321012000000
5214100130310
615250204240
72602560636
oct671060000
9261517576
10115630080
115a2a7655
1232883680
131ac56b87
14114dd356
15a240b70
hex6e46000

115630080 has 112 divisors (see below), whose sum is σ = 370386864. Its totient is φ = 30801920.

The previous prime is 115630079. The next prime is 115630091. The reversal of 115630080 is 80036511.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 115630080.

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, 122410 + ... + 123350.

Almost surely, 2115630080 is an apocalyptic number.

115630080 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 115630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185193432).

115630080 is an abundant number, since it is smaller than the sum of its proper divisors (254756784).

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

115630080 is an frugal number, since it uses more digits than its factorization.

115630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 115630080 is about 10753.1427964107. The cubic root of 115630080 is about 487.1809246713.

Adding to 115630080 its reverse (80036511), we get a palindrome (195666591).

The spelling of 115630080 in words is "one hundred fifteen million, six hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 941 960 1024 1280 1536 1882 1920 2048 2560 2823 3072 3764 3840 4096 4705 5120 5646 6144 7528 7680 8192 9410 10240 11292 12288 14115 15056 15360 18820 20480 22584 24576 28230 30112 30720 37640 40960 45168 56460 60224 61440 75280 90336 112920 120448 122880 150560 180672 225840 240896 301120 361344 451680 481792 602240 722688 903360 963584 1204480 1445376 1806720 1927168 2408960 2890752 3613440 3854336 4817920 5781504 7226880 7708672 9635840 11563008 14453760 19271680 23126016 28907520 38543360 57815040 115630080