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1357563480 = 2335713273131
BaseRepresentation
bin101000011101010…
…1100011001011000
310111121111100222220
41100322230121120
510240014012410
6342413144040
745433046010
oct12072543130
93447440886
101357563480
11637344599
1231a78b020
13188340c00
14cc426c40
157e2b1070
hex50eac658

1357563480 has 384 divisors, whose sum is σ = 5148126720. Its totient is φ = 280350720.

The previous prime is 1357563469. The next prime is 1357563481. The reversal of 1357563480 is 843657531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357563481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10363015 + ... + 10363145.

It is an arithmetic number, because the mean of its divisors is an integer number (13406580).

Almost surely, 21357563480 is an apocalyptic number.

1357563480 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 1357563480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574063360).

1357563480 is an abundant number, since it is smaller than the sum of its proper divisors (3790563240).

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

1357563480 is a wasteful number, since it uses less digits than its factorization.

1357563480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 1357563480 is about 36845.1283075524. The cubic root of 1357563480 is about 1107.2696142586.

The spelling of 1357563480 in words is "one billion, three hundred fifty-seven million, five hundred sixty-three thousand, four hundred eighty".