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2137586490 = 233513608999
BaseRepresentation
bin111111101101000…
…1111101100111010
312111222020122102000
41333122033230322
513334210231430
6552035521430
7103654120404
oct17732175472
95458218360
102137586490
119a7680406
124b7a59276
13280b1aca0
14163c71b74
15c79dde60
hex7f68fb3a

2137586490 has 64 divisors (see below), whose sum is σ = 6138720000. Its totient is φ = 526174272.

The previous prime is 2137586453. The next prime is 2137586497. The reversal of 2137586490 is 946857312.

2137586490 is a `hidden beast` number, since 2 + 13 + 75 + 86 + 490 = 666.

2137586490 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2137586490 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2137586497) 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, 300990 + ... + 308009.

It is an arithmetic number, because the mean of its divisors is an integer number (95917500).

It is a 1-persistent number, because it is pandigital, but 2⋅2137586490 = 4275172980 is not.

Almost surely, 22137586490 is an apocalyptic number.

2137586490 is an abundant number, since it is smaller than the sum of its proper divisors (4001133510).

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

2137586490 is a wasteful number, since it uses less digits than its factorization.

2137586490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609028 (or 609022 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2137586490 is about 46234.0403815198. The cubic root of 2137586490 is about 1288.1741069147.

The spelling of 2137586490 in words is "two billion, one hundred thirty-seven million, five hundred eighty-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 608999 1217998 1826997 3044995 3653994 5480991 6089990 7916987 9134985 10961982 15833974 16442973 18269970 23750961 27404955 32885946 39584935 47501922 54809910 71252883 79169870 82214865 118754805 142505766 164429730 213758649 237509610 356264415 427517298 712528830 1068793245 2137586490