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2129388960 = 25354436227
BaseRepresentation
bin111111011101011…
…1110010110100000
312111101211011111210
41332322332112200
513330110421320
6551144110120
7103524336036
oct17672762640
95441734453
102129388960
119a2a91496
124b5165340
1327c20a98a
14162b3a556
15c6e200e0
hex7eebe5a0

2129388960 has 48 divisors (see below), whose sum is σ = 6707576736. Its totient is φ = 567836928.

The previous prime is 2129388913. The next prime is 2129388971. The reversal of 2129388960 is 698839212.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2217634 + ... + 2218593.

It is an arithmetic number, because the mean of its divisors is an integer number (139741182).

Almost surely, 22129388960 is an apocalyptic number.

2129388960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2129388960 is an abundant number, since it is smaller than the sum of its proper divisors (4578187776).

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

2129388960 is a wasteful number, since it uses less digits than its factorization.

2129388960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436245 (or 4436237 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 2129388960 is about 46145.3026861890. The cubic root of 2129388960 is about 1286.5253044632.

The spelling of 2129388960 in words is "two billion, one hundred twenty-nine million, three hundred eighty-eight thousand, nine hundred sixty".

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 4436227 8872454 13308681 17744908 22181135 26617362 35489816 44362270 53234724 66543405 70979632 88724540 106469448 133086810 141959264 177449080 212938896 266173620 354898160 425877792 532347240 709796320 1064694480 2129388960