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15420020 = 225711171931
BaseRepresentation
bin111010110100…
…101001110100
31002000102021212
4322310221310
512421420040
61310300552
7245032220
oct72645164
932012255
1015420020
118782320
1251b7758
13326b895
142095780
151548d65
hexeb4a74

15420020 has 192 divisors, whose sum is σ = 46448640. Its totient is φ = 4147200.

The previous prime is 15420017. The next prime is 15420043. The reversal of 15420020 is 2002451.

15420020 = T176 + T177 + ... + T460.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 15419977 and 15420004.

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 63 ways as a sum of consecutive naturals, for example, 497405 + ... + 497435.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 215420020 is an apocalyptic number.

15420020 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 15420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

15420020 is an abundant number, since it is smaller than the sum of its proper divisors (31028620).

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

15420020 is a wasteful number, since it uses less digits than its factorization.

15420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 15420020 is about 3926.8333297964. The cubic root of 15420020 is about 248.9019576058.

Adding to 15420020 its reverse (2002451), we get a palindrome (17422471).

Subtracting from 15420020 its reverse (2002451), we obtain a square (13417569 = 36632).

The spelling of 15420020 in words is "fifteen million, four hundred twenty thousand, twenty".