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145248620 = 225115312457
BaseRepresentation
bin10001010100001…
…01000101101100
3101010022101122112
420222011011230
5244140423440
622225103152
73412410236
oct1052050554
9333271575
10145248620
1174a97490
1240787ab8
132412733a
141540d256
15cb41965
hex8a8516c

145248620 has 48 divisors (see below), whose sum is σ = 339056928. Its totient is φ = 51816960.

The previous prime is 145248613. The next prime is 145248637. The reversal of 145248620 is 26842541.

It is a super-2 number, since 2×1452486202 = 42194323223808800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5432 + ... + 17888.

It is an arithmetic number, because the mean of its divisors is an integer number (7063686).

Almost surely, 2145248620 is an apocalyptic number.

145248620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145248620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169528464).

145248620 is an abundant number, since it is smaller than the sum of its proper divisors (193808308).

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

145248620 is a wasteful number, since it uses less digits than its factorization.

145248620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12530 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 145248620 is about 12051.9135410108. The cubic root of 145248620 is about 525.6588794818.

The spelling of 145248620 in words is "one hundred forty-five million, two hundred forty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 12457 24914 49828 62285 124570 137027 249140 274054 548108 660221 685135 1320442 1370270 2640884 2740540 3301105 6602210 7262431 13204420 14524862 29049724 36312155 72624310 145248620