Search a number
-
+
1054454520 = 233572389461
BaseRepresentation
bin111110110110011…
…011001011111000
32201111010211200010
4332312123023320
54124420021040
6252344341520
735062500300
oct7666331370
92644124603
101054454520
114a1237319
122551748a0
1313a5c4cb2
14a0084600
156288ae80
hex3ed9b2f8

1054454520 has 192 divisors, whose sum is σ = 3697293600. Its totient is φ = 239877120.

The previous prime is 1054454507. The next prime is 1054454521. The reversal of 1054454520 is 254544501.

It is a super-2 number, since 2×10544545202 = 2223748669496860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054454521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2287090 + ... + 2287550.

Almost surely, 21054454520 is an apocalyptic number.

1054454520 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 1054454520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848646800).

1054454520 is an abundant number, since it is smaller than the sum of its proper divisors (2642839080).

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

1054454520 is a wasteful number, since it uses less digits than its factorization.

1054454520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 1054454520 is about 32472.3654820526. The cubic root of 1054454520 is about 1017.8316489978.

The spelling of 1054454520 in words is "one billion, fifty-four million, four hundred fifty-four thousand, five hundred twenty".