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145732566 = 23723713397
BaseRepresentation
bin10001010111110…
…11001111010110
3101011012222111110
420223323033112
5244301420231
622243315450
73416464200
oct1053731726
9334188443
10145732566
1175298041
124097bb86
13242666b5
14154d7770
15cbda046
hex8afb3d6

145732566 has 48 divisors (see below), whose sum is σ = 348240816. Its totient is φ = 40509504.

The previous prime is 145732493. The next prime is 145732583. The reversal of 145732566 is 665237541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4180 + ... + 17576.

It is an arithmetic number, because the mean of its divisors is an integer number (7255017).

Almost surely, 2145732566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145732566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174120408).

145732566 is an abundant number, since it is smaller than the sum of its proper divisors (202508250).

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

145732566 is a wasteful number, since it uses less digits than its factorization.

145732566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13453 (or 13446 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 145732566 is about 12071.9744035514. The cubic root of 145732566 is about 526.2420370680.

The spelling of 145732566 in words is "one hundred forty-five million, seven hundred thirty-two thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1554 1813 3626 5439 10878 13397 26794 40191 80382 93779 187558 281337 495689 562674 656453 991378 1312906 1487067 1969359 2974134 3469823 3938718 6939646 10409469 20818938 24288761 48577522 72866283 145732566