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2142992304 = 243231480061
BaseRepresentation
bin111111110111011…
…0111011110110000
312112100102021210100
41333232313132300
513342101223204
6552351432400
7104051063655
oct17756673660
95470367710
102142992304
119aa732922
124b9825700
13281c916ab
1416487bc2c
15c820aa39
hex7fbb77b0

2142992304 has 60 divisors (see below), whose sum is σ = 6190879552. Its totient is φ = 691286400.

The previous prime is 2142992279. The next prime is 2142992359. The reversal of 2142992304 is 4032992412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235567 + ... + 244494.

Almost surely, 22142992304 is an apocalyptic number.

2142992304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142992304 is an abundant number, since it is smaller than the sum of its proper divisors (4047887248).

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

2142992304 is a wasteful number, since it uses less digits than its factorization.

2142992304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480106 (or 480097 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2142992304 is about 46292.4648728062. The cubic root of 2142992304 is about 1289.2590950079.

It can be divided in two parts, 2142992 and 304, that added together give a square (2143296 = 14642).

The spelling of 2142992304 in words is "two billion, one hundred forty-two million, nine hundred ninety-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 480061 960122 1440183 1920244 2880366 3840488 4320549 5760732 7680976 8641098 11521464 14881891 17282196 23042928 29763782 34564392 44645673 59527564 69128784 89291346 119055128 133937019 178582692 238110256 267874038 357165384 535748076 714330768 1071496152 2142992304