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268006530 = 2351121743101
BaseRepresentation
bin11111111100101…
…11010010000010
3200200022010211210
433332113102002
51022102202110
642332150550
76433006101
oct1776272202
9620263753
10268006530
11128312300
1275908456
13436a865c
1427846038
15187de520
hexff97482

268006530 has 192 divisors, whose sum is σ = 773587584. Its totient is φ = 59136000.

The previous prime is 268006493. The next prime is 268006537. The reversal of 268006530 is 35600862.

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 (268006537) 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, 2653480 + ... + 2653580.

It is an arithmetic number, because the mean of its divisors is an integer number (4029102).

Almost surely, 2268006530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268006530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386793792).

268006530 is an abundant number, since it is smaller than the sum of its proper divisors (505581054).

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

268006530 is a wasteful number, since it uses less digits than its factorization.

268006530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 268006530 is about 16370.9049841479. The cubic root of 268006530 is about 644.7358091153.

The spelling of 268006530 in words is "two hundred sixty-eight million, six thousand, five hundred thirty".