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2355080940 = 223354361261
BaseRepresentation
bin1000110001011111…
…1010111011101100
320002010111111201000
42030113322323230
514310400042230
61025405320300
7112234600122
oct21427727354
96063444630
102355080940
11aa9422193
12558866090
132b6bbc124
14184ac9912
15dbb51b60
hex8c5faeec

2355080940 has 48 divisors (see below), whose sum is σ = 7326920160. Its totient is φ = 628021440.

The previous prime is 2355080939. The next prime is 2355080947. The reversal of 2355080940 is 490805532.

2355080940 is a `hidden beast` number, since 23 + 550 + 80 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2355080895 and 2355080904.

It is not an unprimeable number, because it can be changed into a prime (2355080947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2180091 + ... + 2181170.

It is an arithmetic number, because the mean of its divisors is an integer number (152644170).

Almost surely, 22355080940 is an apocalyptic number.

2355080940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2355080940 is an abundant number, since it is smaller than the sum of its proper divisors (4971839220).

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

2355080940 is a wasteful number, since it uses less digits than its factorization.

2355080940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361279 (or 4361271 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2355080940 is about 48529.1761726902. The cubic root of 2355080940 is about 1330.4603791859.

The spelling of 2355080940 in words is "two billion, three hundred fifty-five million, eighty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4361261 8722522 13083783 17445044 21806305 26167566 39251349 43612610 52335132 65418915 78502698 87225220 117754047 130837830 157005396 196256745 235508094 261675660 392513490 471016188 588770235 785026980 1177540470 2355080940