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144920460 = 22359072663
BaseRepresentation
bin10001010001101…
…00111110001100
3101002200201111110
420220310332030
5244044423320
622214052020
73406542426
oct1050647614
9332621443
10144920460
1174892983
124064a010
1324040b69
1415365816
15cac95e0
hex8a34f8c

144920460 has 48 divisors (see below), whose sum is σ = 406377216. Its totient is φ = 38588352.

The previous prime is 144920441. The next prime is 144920471. The reversal of 144920460 is 64029441.

It is a super-2 number, since 2×1449204602 = 42003879453223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53089 + ... + 55751.

It is an arithmetic number, because the mean of its divisors is an integer number (8466192).

Almost surely, 2144920460 is an apocalyptic number.

144920460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144920460 is an abundant number, since it is smaller than the sum of its proper divisors (261456756).

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

144920460 is a wasteful number, since it uses less digits than its factorization.

144920460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 144920460 is about 12038.2914070062. The cubic root of 144920460 is about 525.2627075227.

The spelling of 144920460 in words is "one hundred forty-four million, nine hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 907 1814 2663 2721 3628 4535 5326 5442 7989 9070 10652 10884 13315 13605 15978 18140 26630 27210 31956 39945 53260 54420 79890 159780 2415341 4830682 7246023 9661364 12076705 14492046 24153410 28984092 36230115 48306820 72460230 144920460