Search a number
-
+
20292000 = 253531989
BaseRepresentation
bin100110101101…
…0000110100000
31102011221101120
41031122012200
520143321000
62002532240
7334323231
oct115320640
942157346
1020292000
11104aa753
126967080
134286301
1429a3088
151bac6a0
hex135a1a0

20292000 has 192 divisors, whose sum is σ = 70761600. Its totient is φ = 5068800.

The previous prime is 20291989. The next prime is 20292037. The reversal of 20292000 is 29202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227956 + ... + 228044.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 220292000 is an apocalyptic number.

20292000 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 20292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

20292000 is an abundant number, since it is smaller than the sum of its proper divisors (50469600).

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

20292000 is a wasteful number, since it uses less digits than its factorization.

20292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 20292000 is about 4504.6642494197. The cubic root of 20292000 is about 272.7564009293.

The spelling of 20292000 in words is "twenty million, two hundred ninety-two thousand".