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145786180 = 22531832833
BaseRepresentation
bin10001011000010…
…00010101000100
3101011022201001011
420230020111010
5244310124210
622244412004
73420106411
oct1054102504
9334281034
10145786180
1175324351
12409a7004
1324284c17
141550d108
15cbead8a
hex8b08544

145786180 has 48 divisors (see below), whose sum is σ = 319947264. Its totient is φ = 55733760.

The previous prime is 145786177. The next prime is 145786187. The reversal of 145786180 is 81687541.

It is a super-2 number, since 2×1457861802 = 42507220557984800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (145786187) 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, 50044 + ... + 52876.

It is an arithmetic number, because the mean of its divisors is an integer number (6665568).

Almost surely, 2145786180 is an apocalyptic number.

145786180 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 145786180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159973632).

145786180 is an abundant number, since it is smaller than the sum of its proper divisors (174161084).

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

145786180 is a wasteful number, since it uses less digits than its factorization.

145786180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 145786180 is about 12074.1947971697. The cubic root of 145786180 is about 526.3065627540.

The spelling of 145786180 in words is "one hundred forty-five million, seven hundred eighty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 83 124 155 166 310 332 415 620 830 1660 2573 2833 5146 5666 10292 11332 12865 14165 25730 28330 51460 56660 87823 175646 235139 351292 439115 470278 878230 940556 1175695 1756460 2351390 4702780 7289309 14578618 29157236 36446545 72893090 145786180