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19190272 = 29371013
BaseRepresentation
bin100100100110…
…1001000000000
31100002222002211
41021031020000
514403042042
61523151504
7322054213
oct111151000
940088084
1019190272
11a917a32
126515594
133c8b9ba
14279777a
151a41017
hex124d200

19190272 has 40 divisors (see below), whose sum is σ = 39418236. Its totient is φ = 9326592.

The previous prime is 19190261. The next prime is 19190273. The reversal of 19190272 is 27209191.

It can be written as a sum of positive squares in 2 ways, for example, as 18800896 + 389376 = 4336^2 + 624^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (19190273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18438 + ... + 19450.

Almost surely, 219190272 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 19190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19709118).

19190272 is an abundant number, since it is smaller than the sum of its proper divisors (20227964).

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

19190272 is an equidigital number, since it uses as much as digits as its factorization.

19190272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 19190272 is about 4380.6702683494. The cubic root of 19190272 is about 267.7279484781.

The spelling of 19190272 in words is "nineteen million, one hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1013 1184 2026 2368 4052 4736 8104 9472 16208 18944 32416 37481 64832 74962 129664 149924 259328 299848 518656 599696 1199392 2398784 4797568 9595136 19190272