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1054474920 = 2332519314973
BaseRepresentation
bin111110110110100…
…000001010101000
32201111011212122200
4332312200022220
54124421144140
6252345020200
735062613622
oct7666401250
92644155580
101054474920
114a1250684
12255184660
1313a601375
14a008bc12
1562892030
hex3eda02a8

1054474920 has 192 divisors, whose sum is σ = 3724531200. Its totient is φ = 257748480.

The previous prime is 1054474919. The next prime is 1054474933. The reversal of 1054474920 is 294744501.

It is a happy number.

It is a super-2 number, since 2×10544749202 = 2223834713818012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 209554 + ... + 214526.

It is an arithmetic number, because the mean of its divisors is an integer number (19398600).

Almost surely, 21054474920 is an apocalyptic number.

1054474920 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 1054474920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862265600).

1054474920 is an abundant number, since it is smaller than the sum of its proper divisors (2670056280).

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

1054474920 is a wasteful number, since it uses less digits than its factorization.

1054474920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1054474920 is about 32472.6795937754. The cubic root of 1054474920 is about 1017.8382127808.

The spelling of 1054474920 in words is "one billion, fifty-four million, four hundred seventy-four thousand, nine hundred twenty".