Search a number
-
+
19792480 = 2551031201
BaseRepresentation
bin100101110000…
…0001001100000
31101020120011211
41023200021200
520031324410
61544115504
7330143011
oct113401140
941216154
1019792480
1110199424
126765b94
13413cb36
1428b3008
151b0e68a
hex12e0260

19792480 has 48 divisors (see below), whose sum is σ = 47253024. Its totient is φ = 7833600.

The previous prime is 19792469. The next prime is 19792501. The reversal of 19792480 is 8429791.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15880 + ... + 17080.

It is an arithmetic number, because the mean of its divisors is an integer number (984438).

Almost surely, 219792480 is an apocalyptic number.

19792480 is a gapful number since it is divisible by the number (10) 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 19792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23626512).

19792480 is an abundant number, since it is smaller than the sum of its proper divisors (27460544).

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

19792480 is a wasteful number, since it uses less digits than its factorization.

19792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 19792480 is about 4448.8740148492. The cubic root of 19792480 is about 270.4996691502.

The spelling of 19792480 in words is "nineteen million, seven hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1201 1648 2060 2402 3296 4120 4804 6005 8240 9608 12010 16480 19216 24020 38432 48040 96080 123703 192160 247406 494812 618515 989624 1237030 1979248 2474060 3958496 4948120 9896240 19792480