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2755008030 = 235714313001
BaseRepresentation
bin1010010000110110…
…0001011000011110
321010000000220112110
42210031201120132
521120240224110
61133213214450
7125162116245
oct24415413036
97100026473
102755008030
111194148345
1264a791426
1334ba06488
141c1c7195c
15111ceda20
hexa436161e

2755008030 has 64 divisors (see below), whose sum is σ = 6722942976. Its totient is φ = 722400000.

The previous prime is 2755008013. The next prime is 2755008031. The reversal of 2755008030 is 308005572.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 (2755008031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916530 + ... + 919530.

It is an arithmetic number, because the mean of its divisors is an integer number (105045984).

Almost surely, 22755008030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2755008030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361471488).

2755008030 is an abundant number, since it is smaller than the sum of its proper divisors (3967934946).

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

2755008030 is a wasteful number, since it uses less digits than its factorization.

2755008030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2755008030 is about 52488.1703815250. The cubic root of 2755008030 is about 1401.8696160740.

The spelling of 2755008030 in words is "two billion, seven hundred fifty-five million, eight thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 431 710 862 1065 1293 2130 2155 2586 3001 4310 6002 6465 9003 12930 15005 18006 30010 30601 45015 61202 90030 91803 153005 183606 213071 306010 426142 459015 639213 918030 1065355 1278426 1293431 2130710 2586862 3196065 3880293 6392130 6467155 7760586 12934310 19401465 38802930 91833601 183667202 275500803 459168005 551001606 918336010 1377504015 2755008030