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145720836 = 22332774871
BaseRepresentation
bin10001010111110…
…00011000000100
3101011012101102000
420223320120010
5244301031321
622243145300
73416415042
oct1053703004
9334171360
10145720836
117528a248
1240975230
1324261261
14154d3392
15cbd6826
hex8af8604

145720836 has 48 divisors (see below), whose sum is σ = 379236480. Its totient is φ = 48388320.

The previous prime is 145720819. The next prime is 145720843. The reversal of 145720836 is 638027541.

145720836 is a `hidden beast` number, since 1 + 4 + 572 + 0 + 83 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145720836.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27481 + ... + 32351.

It is an arithmetic number, because the mean of its divisors is an integer number (7900760).

Almost surely, 2145720836 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 145720836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189618240).

145720836 is an abundant number, since it is smaller than the sum of its proper divisors (233515644).

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

145720836 is a wasteful number, since it uses less digits than its factorization.

145720836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 145720836 is about 12071.4885577546. The cubic root of 145720836 is about 526.2279176325.

The spelling of 145720836 in words is "one hundred forty-five million, seven hundred twenty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 277 554 831 1108 1662 2493 3324 4871 4986 7479 9742 9972 14613 14958 19484 29226 29916 43839 58452 87678 131517 175356 263034 526068 1349267 2698534 4047801 5397068 8095602 12143403 16191204 24286806 36430209 48573612 72860418 145720836