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115971480 = 23335167643
BaseRepresentation
bin1101110100110…
…01010110011000
322002012221222000
412322121112120
5214142041410
615301401000
72605512162
oct672312630
9262187860
10115971480
115a5100a9
1232a09160
131b0463a1
141158b932
15a2abdc0
hex6e99598

115971480 has 128 divisors (see below), whose sum is σ = 389491200. Its totient is φ = 30692736.

The previous prime is 115971463. The next prime is 115971487. The reversal of 115971480 is 84179511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115971487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180039 + ... + 180681.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2115971480 is an apocalyptic number.

115971480 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 115971480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

115971480 is an abundant number, since it is smaller than the sum of its proper divisors (273519720).

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

115971480 is a wasteful number, since it uses less digits than its factorization.

115971480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 115971480 is about 10769.0055251170. The cubic root of 115971480 is about 487.6599238628.

The spelling of 115971480 in words is "one hundred fifteen million, nine hundred seventy-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 167 180 216 270 334 360 501 540 643 668 835 1002 1080 1286 1336 1503 1670 1929 2004 2505 2572 3006 3215 3340 3858 4008 4509 5010 5144 5787 6012 6430 6680 7515 7716 9018 9645 10020 11574 12024 12860 15030 15432 17361 18036 19290 20040 22545 23148 25720 28935 30060 34722 36072 38580 45090 46296 57870 60120 69444 77160 86805 90180 107381 115740 138888 173610 180360 214762 231480 322143 347220 429524 536905 644286 694440 859048 966429 1073810 1288572 1610715 1932858 2147620 2577144 2899287 3221430 3865716 4295240 4832145 5798574 6442860 7731432 9664290 11597148 12885720 14496435 19328580 23194296 28992870 38657160 57985740 115971480