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115459240 = 235131737353
BaseRepresentation
bin1101110000111…
…00010010101000
322001020221022011
412320130102220
5214024143430
615242405304
72601246601
oct670342250
9261227264
10115459240
115a1a0266
1232800834
131abc71a0
1411496da8
15a20a22a
hex6e1c4a8

115459240 has 128 divisors (see below), whose sum is σ = 305091360. Its totient is φ = 38928384.

The previous prime is 115459217. The next prime is 115459243. The reversal of 115459240 is 42954511.

It can be written as a sum of positive squares in 16 ways, for example, as 22259524 + 93199716 = 4718^2 + 9654^2 .

It is a super-2 number, since 2×1154592402 = 26661672202755200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115459243) 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, 326904 + ... + 327256.

Almost surely, 2115459240 is an apocalyptic number.

115459240 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 115459240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152545680).

115459240 is an abundant number, since it is smaller than the sum of its proper divisors (189632120).

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

115459240 is a wasteful number, since it uses less digits than its factorization.

115459240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 115459240 is about 10745.1961359484. The cubic root of 115459240 is about 486.9408746405.

The spelling of 115459240 in words is "one hundred fifteen million, four hundred fifty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 37 40 52 65 68 74 85 104 130 136 148 170 185 221 260 296 340 353 370 442 481 520 629 680 706 740 884 962 1105 1258 1412 1480 1765 1768 1924 2210 2405 2516 2824 3145 3530 3848 4420 4589 4810 5032 6001 6290 7060 8177 8840 9178 9620 12002 12580 13061 14120 16354 18356 19240 22945 24004 25160 26122 30005 32708 36712 40885 45890 48008 52244 60010 65305 65416 78013 81770 91780 104488 120020 130610 156026 163540 169793 183560 222037 240040 261220 312052 327080 339586 390065 444074 522440 624104 679172 780130 848965 888148 1110185 1358344 1560260 1697930 1776296 2220370 2886481 3120520 3395860 4440740 5772962 6791720 8881480 11545924 14432405 23091848 28864810 57729620 115459240