Search a number
-
+
20201610240 = 2103257223389
BaseRepresentation
bin10010110100000111…
…000001110000000000
31221010212220010111200
4102310013001300000
5312333103011430
613140330341200
71313420565600
oct226407016000
957125803450
1020201610240
118627311859
123ab958a800
131b9c3a6b36
14d98da6c00
157d37e2460
hex4b41c1c00

20201610240 has 792 divisors, whose sum is σ = 85185004320. Its totient is φ = 4405395456.

The previous prime is 20201610239. The next prime is 20201610271. The reversal of 20201610240 is 4201610202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 51931966 + ... + 51932354.

Almost surely, 220201610240 is an apocalyptic number.

20201610240 is a gapful number since it is divisible by the number (20) 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 20201610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42592502160).

20201610240 is an abundant number, since it is smaller than the sum of its proper divisors (64983394080).

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

20201610240 is a wasteful number, since it uses less digits than its factorization.

20201610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 20201610240 in words is "twenty billion, two hundred one million, six hundred ten thousand, two hundred forty".