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114542520 = 23353141751
BaseRepresentation
bin1101101001111…
…00011110111000
321222112100210120
412310330132320
5213310330040
615211013240
72560411131
oct664743670
9258470716
10114542520
1159724544
123243a220
131a965b51
14112d8c88
15a0c87d0
hex6d3c7b8

114542520 has 128 divisors (see below), whose sum is σ = 363847680. Its totient is φ = 28800000.

The previous prime is 114542513. The next prime is 114542521. The reversal of 114542520 is 25245411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114542521) 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, 152145 + ... + 152895.

It is an arithmetic number, because the mean of its divisors is an integer number (2842560).

Almost surely, 2114542520 is an apocalyptic number.

114542520 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 114542520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181923840).

114542520 is an abundant number, since it is smaller than the sum of its proper divisors (249305160).

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

114542520 is a wasteful number, since it uses less digits than its factorization.

114542520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 114542520 is about 10702.4539242176. The cubic root of 114542520 is about 485.6487156502.

Adding to 114542520 its reverse (25245411), we get a palindrome (139787931).

The spelling of 114542520 in words is "one hundred fourteen million, five hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 41 60 62 82 93 120 123 124 155 164 186 205 246 248 310 328 372 410 465 492 615 620 744 751 820 930 984 1230 1240 1271 1502 1640 1860 2253 2460 2542 3004 3720 3755 3813 4506 4920 5084 6008 6355 7510 7626 9012 10168 11265 12710 15020 15252 18024 19065 22530 23281 25420 30040 30504 30791 38130 45060 46562 50840 61582 69843 76260 90120 92373 93124 116405 123164 139686 152520 153955 184746 186248 232810 246328 279372 307910 349215 369492 461865 465620 558744 615820 698430 738984 923730 931240 954521 1231640 1396860 1847460 1909042 2793720 2863563 3694920 3818084 4772605 5727126 7636168 9545210 11454252 14317815 19090420 22908504 28635630 38180840 57271260 114542520