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20980146 = 23111272503
BaseRepresentation
bin101000000001…
…0000110110010
31110110220100110
41100002012302
520332331041
62025402150
7343220415
oct120020662
943426313
1020980146
111092a770
127039356
1344675b5
142b01b7c
151c96516
hex14021b2

20980146 has 32 divisors (see below), whose sum is σ = 46153728. Its totient is φ = 6305040.

The previous prime is 20980139. The next prime is 20980153. The reversal of 20980146 is 64108902.

It is an interprime number because it is at equal distance from previous prime (20980139) and next prime (20980153).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7131 + ... + 9633.

It is an arithmetic number, because the mean of its divisors is an integer number (1442304).

Almost surely, 220980146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20980146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23076864).

20980146 is an abundant number, since it is smaller than the sum of its proper divisors (25173582).

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

20980146 is a wasteful number, since it uses less digits than its factorization.

20980146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 20980146 is about 4580.4089337089. The cubic root of 20980146 is about 275.8054446987.

The spelling of 20980146 in words is "twenty million, nine hundred eighty thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 127 254 381 762 1397 2503 2794 4191 5006 7509 8382 15018 27533 55066 82599 165198 317881 635762 953643 1907286 3496691 6993382 10490073 20980146