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15120043400 = 23527111019721
BaseRepresentation
bin11100001010011100…
…11000110110001000
31110000202000210021102
432011032120312020
5221431212342100
610540203000532
71043455151120
oct160516306610
943022023242
1015120043400
116459963440
122b1b809148
13156c689957
14a36151c80
155d7627cd5
hex385398d88

15120043400 has 192 divisors, whose sum is σ = 44266988160. Its totient is φ = 4665600000.

The previous prime is 15120043399. The next prime is 15120043429. The reversal of 15120043400 is 434002151.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550540 + ... + 1560260.

It is an arithmetic number, because the mean of its divisors is an integer number (230557230).

Almost surely, 215120043400 is an apocalyptic number.

15120043400 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 15120043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22133494080).

15120043400 is an abundant number, since it is smaller than the sum of its proper divisors (29146944760).

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

15120043400 is a wasteful number, since it uses less digits than its factorization.

15120043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

15120043400 divided by its sum of digits (20) gives a triangular number (756002170 = T38884).

Adding to 15120043400 its reverse (434002151), we get a palindrome (15554045551).

The spelling of 15120043400 in words is "fifteen billion, one hundred twenty million, forty-three thousand, four hundred".