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1900047072 = 253711401641
BaseRepresentation
bin111000101000000…
…0110101011100000
311220102021101120210
41301100012223200
512342403001242
6512312334120
765041063560
oct16120065340
94812241523
101900047072
11895588540
124503a4340
1324384c111
141404bada0
15b1c1bd9c
hex71406ae0

1900047072 has 192 divisors, whose sum is σ = 6243568128. Its totient is φ = 491520000.

The previous prime is 1900047053. The next prime is 1900047113. The reversal of 1900047072 is 2707400091.

It is a super-2 number, since 2×19000470722 = 7220357751631546368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2963872 + ... + 2964512.

It is an arithmetic number, because the mean of its divisors is an integer number (32518584).

Almost surely, 21900047072 is an apocalyptic number.

1900047072 is a gapful number since it is divisible by the number (12) 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 1900047072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121784064).

1900047072 is an abundant number, since it is smaller than the sum of its proper divisors (4343521056).

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

1900047072 is a wasteful number, since it uses less digits than its factorization.

1900047072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 1900047072 is about 43589.5293849337. The cubic root of 1900047072 is about 1238.5725578976.

The spelling of 1900047072 in words is "one billion, nine hundred million, forty-seven thousand, seventy-two".