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145083204 = 22337434463
BaseRepresentation
bin10001010010111…
…00101101000100
3101002222222202000
420221130231010
5244120130304
622221345300
73411121050
oct1051345504
9332888660
10145083204
1174994182
1240708230
1324099c66
14153a8c60
15cb0c939
hex8a5cb44

145083204 has 96 divisors (see below), whose sum is σ = 439971840. Its totient is φ = 40479264.

The previous prime is 145083181. The next prime is 145083209. The reversal of 145083204 is 402380541.

145083204 is a `hidden beast` number, since 1 + 450 + 8 + 3 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145083209) 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, 30277 + ... + 34739.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040).

Almost surely, 2145083204 is an apocalyptic number.

145083204 is a gapful number since it is divisible by the number (14) 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 145083204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219985920).

145083204 is an abundant number, since it is smaller than the sum of its proper divisors (294888636).

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

145083204 is a wasteful number, since it uses less digits than its factorization.

145083204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145083204 is about 12045.0489413701. The cubic root of 145083204 is about 525.4592552821.

The spelling of 145083204 in words is "one hundred forty-five million, eighty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1806 2322 2709 3612 4463 4644 5418 8127 8926 10836 13389 16254 17852 26778 31241 32508 40167 53556 62482 80334 93723 120501 124964 160668 187446 191909 241002 281169 374892 383818 482004 562338 575727 767636 843507 1124676 1151454 1343363 1687014 1727181 2302908 2686726 3374028 3454362 4030089 5181543 5373452 6908724 8060178 10363086 12090267 16120356 20726172 24180534 36270801 48361068 72541602 145083204