Search a number
-
+
145081264 = 24171967419
BaseRepresentation
bin10001010010111…
…00001110110000
3101002222220002011
420221130032300
5244120100024
622221332304
73411112306
oct1051341660
9332886064
10145081264
1174992779
1240707094
1324099103
14153a8276
15cb0c094
hex8a5c3b0

145081264 has 80 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 63562752.

The previous prime is 145081259. The next prime is 145081267. The reversal of 145081264 is 462180541.

It is not an unprimeable number, because it can be changed into a prime (145081267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346047 + ... + 346465.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2145081264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145081264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

145081264 is an abundant number, since it is smaller than the sum of its proper divisors (173648336).

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

145081264 is a wasteful number, since it uses less digits than its factorization.

145081264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 145081264 is about 12044.9684100873. The cubic root of 145081264 is about 525.4569131881.

The spelling of 145081264 in words is "one hundred forty-five million, eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 19 34 38 67 68 76 134 136 152 268 272 304 323 419 536 646 838 1072 1139 1273 1292 1676 2278 2546 2584 3352 4556 5092 5168 6704 7123 7961 9112 10184 14246 15922 18224 20368 21641 28073 28492 31844 43282 56146 56984 63688 86564 112292 113968 127376 135337 173128 224584 270674 346256 449168 477241 533387 541348 954482 1066774 1082696 1908964 2133548 2165392 3817928 4267096 7635856 8534192 9067579 18135158 36270316 72540632 145081264