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1090204192 = 257112192973
BaseRepresentation
bin100000011111011…
…0011001000100000
32210222102010000001
41000332303020200
54213043013232
6300102505344
736005403610
oct10076631040
92728363001
101090204192
1150a434600
12265135254
13144b3104c
14a4b0ca40
1565a9d6e7
hex40fb3220

1090204192 has 288 divisors, whose sum is σ = 2976220800. Its totient is φ = 383201280.

The previous prime is 1090204189. The next prime is 1090204207. The reversal of 1090204192 is 2914020901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1090204192.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14934268 + ... + 14934340.

It is an arithmetic number, because the mean of its divisors is an integer number (10334100).

Almost surely, 21090204192 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 1090204192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488110400).

1090204192 is an abundant number, since it is smaller than the sum of its proper divisors (1886016608).

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

1090204192 is a wasteful number, since it uses less digits than its factorization.

1090204192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1090204192 is about 33018.2402922990. The cubic root of 1090204192 is about 1029.2067263690.

The spelling of 1090204192 in words is "one billion, ninety million, two hundred four thousand, one hundred ninety-two".