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19680552 = 2332614481
BaseRepresentation
bin100101100010…
…0110100101000
31101000212122100
41023010310220
520014234202
61541453400
7326165463
oct113046450
941025570
1019680552
1110122321
126711260
134100bc8
1428842da
151adb41c
hex12c4d28

19680552 has 48 divisors (see below), whose sum is σ = 54187380. Its totient is φ = 6451200.

The previous prime is 19680547. The next prime is 19680587. The reversal of 19680552 is 25508691.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19236996 + 443556 = 4386^2 + 666^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2152 + ... + 6632.

Almost surely, 219680552 is an apocalyptic number.

19680552 is a gapful number since it is divisible by the number (12) 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 19680552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27093690).

19680552 is an abundant number, since it is smaller than the sum of its proper divisors (34506828).

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

19680552 is a wasteful number, since it uses less digits than its factorization.

19680552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 19680552 is about 4436.2768173323. The cubic root of 19680552 is about 269.9888061203.

The spelling of 19680552 in words is "nineteen million, six hundred eighty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 4481 8962 13443 17924 26886 35848 40329 53772 80658 107544 161316 273341 322632 546682 820023 1093364 1640046 2186728 2460069 3280092 4920138 6560184 9840276 19680552