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15030240 = 2535173181
BaseRepresentation
bin111001010101…
…011111100000
31001021121121120
4321111133200
512321431430
61254052240
7241516641
oct71253740
931247546
1015030240
118536495
12504a080
133163344
141dd36c8
1514bd610
hexe557e0

15030240 has 96 divisors (see below), whose sum is σ = 47882016. Its totient is φ = 3962880.

The previous prime is 15030233. The next prime is 15030241. The reversal of 15030240 is 4203051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×150302402 = 451816228915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15030241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82950 + ... + 83130.

It is an arithmetic number, because the mean of its divisors is an integer number (498771).

Almost surely, 215030240 is an apocalyptic number.

15030240 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 15030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23941008).

15030240 is an abundant number, since it is smaller than the sum of its proper divisors (32851776).

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

15030240 is a wasteful number, since it uses less digits than its factorization.

15030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 15030240 is about 3876.8853478018. The cubic root of 15030240 is about 246.7868256388.

Adding to 15030240 its reverse (4203051), we get a palindrome (19233291).

The spelling of 15030240 in words is "fifteen million, thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 173 181 240 346 362 480 519 543 692 724 865 905 1038 1086 1384 1448 1730 1810 2076 2172 2595 2715 2768 2896 3460 3620 4152 4344 5190 5430 5536 5792 6920 7240 8304 8688 10380 10860 13840 14480 16608 17376 20760 21720 27680 28960 31313 41520 43440 62626 83040 86880 93939 125252 156565 187878 250504 313130 375756 469695 501008 626260 751512 939390 1002016 1252520 1503024 1878780 2505040 3006048 3757560 5010080 7515120 15030240