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115342640 = 2457593491
BaseRepresentation
bin1101101111111…
…11110100110000
322001001000100122
412313333310300
5214011431030
615240105412
72600252630
oct667776460
9261030318
10115342640
115a1206a6
1232765268
131ab860aa
14114666c0
15a1d58e5
hex6dffd30

115342640 has 80 divisors (see below), whose sum is σ = 311765760. Its totient is φ = 38864640.

The previous prime is 115342639. The next prime is 115342649. The reversal of 115342640 is 46243511.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (115342649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31295 + ... + 34785.

It is an arithmetic number, because the mean of its divisors is an integer number (3897072).

Almost surely, 2115342640 is an apocalyptic number.

115342640 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 115342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155882880).

115342640 is an abundant number, since it is smaller than the sum of its proper divisors (196423120).

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

115342640 is a wasteful number, since it uses less digits than its factorization.

115342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 115342640 is about 10739.7690850409. The cubic root of 115342640 is about 486.7769021151.

The spelling of 115342640 in words is "one hundred fifteen million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1652 2065 2360 3304 3491 4130 4720 6608 6982 8260 13964 16520 17455 24437 27928 33040 34910 48874 55856 69820 97748 122185 139640 195496 205969 244370 279280 390992 411938 488740 823876 977480 1029845 1441783 1647752 1954960 2059690 2883566 3295504 4119380 5767132 7208915 8238760 11534264 14417830 16477520 23068528 28835660 57671320 115342640