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15420125400 = 23352173148767
BaseRepresentation
bin11100101110001110…
…00111000011011000
31110210122200112101120
432113013013003120
5223040023003100
611030042445240
71054060621551
oct162707070330
943718615346
1015420125400
1165a3293499
122ba4203820
1315b98b5b74
14a63d47328
15603b510a0
hex3971c70d8

15420125400 has 192 divisors, whose sum is σ = 52248084480. Its totient is φ = 3745228800.

The previous prime is 15420125387. The next prime is 15420125407. The reversal of 15420125400 is 452102451.

15420125400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (15420125407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291817 + ... + 340583.

It is an arithmetic number, because the mean of its divisors is an integer number (272125440).

Almost surely, 215420125400 is an apocalyptic number.

15420125400 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 15420125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26124042240).

15420125400 is an abundant number, since it is smaller than the sum of its proper divisors (36827959080).

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

15420125400 is a wasteful number, since it uses less digits than its factorization.

15420125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48834 (or 48825 counting only the distinct ones).

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

Adding to 15420125400 its reverse (452102451), we get a palindrome (15872227851).

The spelling of 15420125400 in words is "fifteen billion, four hundred twenty million, one hundred twenty-five thousand, four hundred".