Search a number
-
+
20270286960 = 24357115771901
BaseRepresentation
bin10010111000001101…
…000000100001110000
31221022200010021020220
4102320031000201300
5313003143140320
613151222333040
71315213411350
oct227015004160
957280107226
1020270286960
118662059680
123b1858a180
131bb06a1251
14da4162b60
157d985ae40
hex4b8340870

20270286960 has 320 divisors, whose sum is σ = 78520402944. Its totient is φ = 4202496000.

The previous prime is 20270286931. The next prime is 20270287001. The reversal of 20270286960 is 6968207202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10662010 + ... + 10663910.

Almost surely, 220270286960 is an apocalyptic number.

20270286960 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 20270286960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39260201472).

20270286960 is an abundant number, since it is smaller than the sum of its proper divisors (58250115984).

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

20270286960 is a wasteful number, since it uses less digits than its factorization.

20270286960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 20270286960 in words is "twenty billion, two hundred seventy million, two hundred eighty-six thousand, nine hundred sixty".