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1461428590 = 253710139107
BaseRepresentation
bin101011100011011…
…1010000101101110
310202211221021010211
41113012322011232
510443111203330
6401003253034
751133636516
oct12706720556
93684837124
101461428590
1168aa35a26
1234951a17a
131a3a08a5b
14dc142846
158847ad2a
hex571ba16e

1461428590 has 32 divisors (see below), whose sum is σ = 2728486944. Its totient is φ = 563126400.

The previous prime is 1461428587. The next prime is 1461428599. The reversal of 1461428590 is 958241641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461428599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17817 + ... + 56923.

It is an arithmetic number, because the mean of its divisors is an integer number (85265217).

Almost surely, 21461428590 is an apocalyptic number.

1461428590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1461428590 is a deficient number, since it is larger than the sum of its proper divisors (1267058354).

1461428590 is a wasteful number, since it uses less digits than its factorization.

1461428590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39252.

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 1461428590 is about 38228.6357329162. The cubic root of 1461428590 is about 1134.8170870991.

The spelling of 1461428590 in words is "one billion, four hundred sixty-one million, four hundred twenty-eight thousand, five hundred ninety".

Divisors: 1 2 5 10 37 74 101 185 202 370 505 1010 3737 7474 18685 37370 39107 78214 195535 391070 1446959 2893918 3949807 7234795 7899614 14469590 19749035 39498070 146142859 292285718 730714295 1461428590