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2530150560 = 253357312699
BaseRepresentation
bin1001011011001111…
…0000100010100000
320112022220222002000
42112303300202200
520140204304220
61055021524000
7116461632150
oct22663604240
96468828060
102530150560
111089227623
125a7413600
13314257b12
141a005c760
15ec1d4390
hex96cf08a0

2530150560 has 384 divisors, whose sum is σ = 10450944000. Its totient is φ = 559457280.

The previous prime is 2530150543. The next prime is 2530150583. The reversal of 2530150560 is 650510352.

2530150560 is a `hidden beast` number, since 2 + 53 + 0 + 1 + 50 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 936091 + ... + 938789.

It is an arithmetic number, because the mean of its divisors is an integer number (27216000).

Almost surely, 22530150560 is an apocalyptic number.

2530150560 is a gapful number since it is divisible by the number (20) 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 2530150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472000).

2530150560 is an abundant number, since it is smaller than the sum of its proper divisors (7920793440).

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

2530150560 is a wasteful number, since it uses less digits than its factorization.

2530150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2530150560 is about 50300.6019844693. The cubic root of 2530150560 is about 1362.6431009814.

The spelling of 2530150560 in words is "two billion, five hundred thirty million, one hundred fifty thousand, five hundred sixty".