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1142497920 = 27351722971
BaseRepresentation
bin100010000011001…
…0010001010000000
32221121210220111210
41010012102022000
54314434413140
6305211410120
740212033504
oct10406221200
92847726453
101142497920
11536a01663
1227a753940
13152910495
14aba42304
156a47cd80
hex44192280

1142497920 has 384 divisors, whose sum is σ = 4058294400. Its totient is φ = 272957440.

The previous prime is 1142497871. The next prime is 1142497931. The reversal of 1142497920 is 297942411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 16091485 + ... + 16091555.

It is an arithmetic number, because the mean of its divisors is an integer number (10568475).

Almost surely, 21142497920 is an apocalyptic number.

1142497920 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 1142497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029147200).

1142497920 is an abundant number, since it is smaller than the sum of its proper divisors (2915796480).

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

1142497920 is a wasteful number, since it uses less digits than its factorization.

1142497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1142497920 is about 33800.8567938743. The cubic root of 1142497920 is about 1045.4063634826.

The spelling of 1142497920 in words is "one billion, one hundred forty-two million, four hundred ninety-seven thousand, nine hundred twenty".