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192121384 = 23713318513
BaseRepresentation
bin10110111001110…
…00101000101000
3111101111202222211
423130320220220
5343140341014
631021454504
74522001440
oct1334705050
9441452884
10192121384
11994a1704
1254411434
1330a591c0
141b731120
1511ceecc4
hexb738a28

192121384 has 64 divisors (see below), whose sum is σ = 457712640. Its totient is φ = 73543680.

The previous prime is 192121381. The next prime is 192121393. The reversal of 192121384 is 483121291.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (192121381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18312 + ... + 26824.

It is an arithmetic number, because the mean of its divisors is an integer number (7151760).

Almost surely, 2192121384 is an apocalyptic number.

192121384 is a gapful number since it is divisible by the number (14) 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 192121384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228856320).

192121384 is an abundant number, since it is smaller than the sum of its proper divisors (265591256).

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

192121384 is a wasteful number, since it uses less digits than its factorization.

192121384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570 (or 8566 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 192121384 is about 13860.7858363081. The cubic root of 192121384 is about 577.0213761383.

The spelling of 192121384 in words is "one hundred ninety-two million, one hundred twenty-one thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1612 1736 2821 3224 5642 8513 11284 17026 22568 34052 59591 68104 110669 119182 221338 238364 263903 442676 476728 527806 774683 885352 1055612 1549366 1847321 2111224 3098732 3430739 3694642 6197464 6861478 7389284 13722956 14778568 24015173 27445912 48030346 96060692 192121384