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115486980 = 223571312099
BaseRepresentation
bin1101110001000…
…11000100000100
322001022100100120
412320203010010
5214031040410
615243141540
72601423510
oct670430404
9261270316
10115486980
115a20a094
12328148b0
131ac069bb
14114a3140
15a213570
hex6e23104

115486980 has 96 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 26183040.

The previous prime is 115486963. The next prime is 115486981. The reversal of 115486980 is 89684511.

It is a super-3 number, since 3×1154869803 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is not an unprimeable number, because it can be changed into a prime (115486981) 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, 53971 + ... + 56069.

It is an arithmetic number, because the mean of its divisors is an integer number (3880800).

Almost surely, 2115486980 is an apocalyptic number.

115486980 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 115486980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

115486980 is an abundant number, since it is smaller than the sum of its proper divisors (257069820).

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

115486980 is a wasteful number, since it uses less digits than its factorization.

115486980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 115486980 is about 10746.4868678094. The cubic root of 115486980 is about 486.9798686561.

It can be divided in two parts, 11548 and 6980, that added together give a triangular number (18528 = T192).

The spelling of 115486980 in words is "one hundred fifteen million, four hundred eighty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 131 140 210 262 393 420 524 655 786 917 1310 1572 1834 1965 2099 2620 2751 3668 3930 4198 4585 5502 6297 7860 8396 9170 10495 11004 12594 13755 14693 18340 20990 25188 27510 29386 31485 41980 44079 55020 58772 62970 73465 88158 125940 146930 176316 220395 274969 293860 440790 549938 824907 881580 1099876 1374845 1649814 1924783 2749690 3299628 3849566 4124535 5499380 5774349 7699132 8249070 9623915 11548698 16498140 19247830 23097396 28871745 38495660 57743490 115486980