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115061640 = 23352347887
BaseRepresentation
bin1101101101110…
…11001110001000
322000111201220020
412312323032020
5213423433030
615230100440
72565002451
oct666731610
9260451806
10115061640
1159a49571
123264a720
131aab8215
14113d2128
15a17c510
hex6dbb388

115061640 has 128 divisors (see below), whose sum is σ = 368271360. Its totient is φ = 28692224.

The previous prime is 115061633. The next prime is 115061641. The reversal of 115061640 is 46160511.

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 115061640.

It is not an unprimeable number, because it can be changed into a prime (115061641) 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, 129277 + ... + 130163.

It is an arithmetic number, because the mean of its divisors is an integer number (2877120).

Almost surely, 2115061640 is an apocalyptic number.

115061640 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 115061640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184135680).

115061640 is an abundant number, since it is smaller than the sum of its proper divisors (253209720).

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

115061640 is a wasteful number, since it uses less digits than its factorization.

115061640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 967 counting only the distinct ones).

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

The square root of 115061640 is about 10726.6788895725. The cubic root of 115061640 is about 486.3812821925.

The spelling of 115061640 in words is "one hundred fifteen million, sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 47 60 69 92 94 115 120 138 141 184 188 230 235 276 282 345 376 460 470 552 564 690 705 887 920 940 1081 1128 1380 1410 1774 1880 2162 2661 2760 2820 3243 3548 4324 4435 5322 5405 5640 6486 7096 8648 8870 10644 10810 12972 13305 16215 17740 20401 21288 21620 25944 26610 32430 35480 40802 41689 43240 53220 61203 64860 81604 83378 102005 106440 122406 125067 129720 163208 166756 204010 208445 244812 250134 306015 333512 408020 416890 489624 500268 612030 625335 816040 833780 958847 1000536 1224060 1250670 1667560 1917694 2448120 2501340 2876541 3835388 4794235 5002680 5753082 7670776 9588470 11506164 14382705 19176940 23012328 28765410 38353880 57530820 115061640