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2355011040 = 25354906273
BaseRepresentation
bin1000110001011110…
…1001110111100000
320002010100221211010
42030113221313200
514310340323130
61025404020520
7112234156254
oct21427516740
96063327733
102355011040
11aa9384718
12558831740
132b6b96375
14184aac264
15dbb3b0b0
hex8c5e9de0

2355011040 has 48 divisors (see below), whose sum is σ = 7418286288. Its totient is φ = 628002816.

The previous prime is 2355011027. The next prime is 2355011053. The reversal of 2355011040 is 401105532.

2355011040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2355011027) and next prime (2355011053).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2355010998 and 2355011016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2452657 + ... + 2453616.

It is an arithmetic number, because the mean of its divisors is an integer number (154547631).

Almost surely, 22355011040 is an apocalyptic number.

2355011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2355011040 is an abundant number, since it is smaller than the sum of its proper divisors (5063275248).

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

2355011040 is a wasteful number, since it uses less digits than its factorization.

2355011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906291 (or 4906283 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2355011040 is about 48528.4559820318. The cubic root of 2355011040 is about 1330.4472161421.

Adding to 2355011040 its reverse (401105532), we get a palindrome (2756116572).

The spelling of 2355011040 in words is "two billion, three hundred fifty-five million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4906273 9812546 14718819 19625092 24531365 29437638 39250184 49062730 58875276 73594095 78500368 98125460 117750552 147188190 157000736 196250920 235501104 294376380 392501840 471002208 588752760 785003680 1177505520 2355011040