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15142520 = 235834561
BaseRepresentation
bin111001110000…
…111001111000
31001111022122002
4321300321320
512334030040
61300320132
7242465201
oct71607170
931438562
1015142520
118602888
1250a3048
1331a2493
1420225a8
1514e1a15
hexe70e78

15142520 has 32 divisors (see below), whose sum is σ = 34488720. Its totient is φ = 5982720.

The previous prime is 15142513. The next prime is 15142541. The reversal of 15142520 is 2524151.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 15142492 and 15142501.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1040 + ... + 5600.

Almost surely, 215142520 is an apocalyptic number.

15142520 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 15142520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17244360).

15142520 is an abundant number, since it is smaller than the sum of its proper divisors (19346200).

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

15142520 is a wasteful number, since it uses less digits than its factorization.

15142520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4655 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 15142520 is about 3891.3391011322. The cubic root of 15142520 is about 247.3998234181.

Adding to 15142520 its reverse (2524151), we get a palindrome (17666671).

The spelling of 15142520 in words is "fifteen million, one hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 4561 9122 18244 22805 36488 45610 91220 182440 378563 757126 1514252 1892815 3028504 3785630 7571260 15142520