Search a number
-
+
145304712 = 23337175653
BaseRepresentation
bin10001010100100…
…10110010001000
3101010102020121000
420222102302020
5244144222322
622230215000
73413032620
oct1052226210
9333366530
10145304712
1175025643
12407b4460
1324146a27
1415425880
15cb533ac
hex8a92c88

145304712 has 128 divisors (see below), whose sum is σ = 488505600. Its totient is φ = 39066624.

The previous prime is 145304699. The next prime is 145304713. The reversal of 145304712 is 217403541.

It is a super-2 number, since 2×1453047122 = 42226918658805888, which contains 22 as substring.

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 (145304713) 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, 22878 + ... + 28530.

It is an arithmetic number, because the mean of its divisors is an integer number (3816450).

Almost surely, 2145304712 is an apocalyptic number.

145304712 is a gapful number since it is divisible by the number (12) 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 145304712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244252800).

145304712 is an abundant number, since it is smaller than the sum of its proper divisors (343200888).

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

145304712 is a wasteful number, since it uses less digits than its factorization.

145304712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 145304712 is about 12054.2404157209. The cubic root of 145304712 is about 525.7265369534.

The spelling of 145304712 in words is "one hundred forty-five million, three hundred four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 5653 6426 8568 11306 12852 16959 22612 25704 33918 39571 45224 50877 67836 79142 96101 101754 118713 135672 152631 158284 192202 203508 237426 288303 305262 316568 356139 384404 407016 474852 576606 610524 672707 712278 768808 864909 949704 1068417 1153212 1221048 1345414 1424556 1729818 2018121 2136834 2306424 2594727 2690828 2849112 3459636 4036242 4273668 5189454 5381656 6054363 6919272 8072484 8547336 10378908 12108726 16144968 18163089 20757816 24217452 36326178 48434904 72652356 145304712