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15242340240 = 2437587119
BaseRepresentation
bin11100011001000001…
…11010011110010000
31110100021011010000000
432030200322132100
5222204014341430
611000252130000
71046501516511
oct161440723620
943307133000
1015242340240
1165119a3906
122b54766900
13158bb0914a
14a484a8a08
155e3233e60
hex38c83a790

15242340240 has 160 divisors (see below), whose sum is σ = 53150169600. Its totient is φ = 4064577408.

The previous prime is 15242340221. The next prime is 15242340283. The reversal of 15242340240 is 4204324251.

15242340240 is a `hidden beast` number, since 15 + 242 + 3 + 402 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131401 + ... + 218519.

It is an arithmetic number, because the mean of its divisors is an integer number (332188560).

Almost surely, 215242340240 is an apocalyptic number.

15242340240 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 15242340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26575084800).

15242340240 is an abundant number, since it is smaller than the sum of its proper divisors (37907829360).

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

15242340240 is an frugal number, since it uses more digits than its factorization.

15242340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87153 (or 87129 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 15242340240 its reverse (4204324251), we get a palindrome (19446664491).

The spelling of 15242340240 in words is "fifteen billion, two hundred forty-two million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2187 2430 2916 3240 3645 3888 4374 4860 5832 6480 7290 8748 9720 10935 11664 14580 17496 19440 21870 29160 34992 43740 58320 87119 87480 174238 174960 261357 348476 435595 522714 696952 784071 871190 1045428 1306785 1393904 1568142 1742380 2090856 2352213 2613570 3136284 3484760 3920355 4181712 4704426 5227140 6272568 6969520 7056639 7840710 9408852 10454280 11761065 12545136 14113278 15681420 18817704 20908560 21169917 23522130 28226556 31362840 35283195 37635408 42339834 47044260 56453112 62725680 63509751 70566390 84679668 94088520 105849585 112906224 127019502 141132780 169359336 188177040 190529253 211699170 254039004 282265560 317548755 338718672 381058506 423398340 508078008 564531120 635097510 762117012 846796680 952646265 1016156016 1270195020 1524234024 1693593360 1905292530 2540390040 3048468048 3810585060 5080780080 7621170120 15242340240