Search a number
-
+
19740552 = 23313231157
BaseRepresentation
bin100101101001…
…1011110001000
31101010220221120
41023103132020
520023144202
61543035240
7326535426
oct113233610
941126846
1019740552
1110163407
12673bb20
134122300
14289c116
151aee0bc
hex12d3788

19740552 has 96 divisors (see below), whose sum is σ = 55514880. Its totient is φ = 5840640.

The previous prime is 19740493. The next prime is 19740559. The reversal of 19740552 is 25504791.

It is not an unprimeable number, because it can be changed into a prime (19740559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125658 + ... + 125814.

It is an arithmetic number, because the mean of its divisors is an integer number (578280).

Almost surely, 219740552 is an apocalyptic number.

19740552 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 19740552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27757440).

19740552 is an abundant number, since it is smaller than the sum of its proper divisors (35774328).

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

19740552 is a wasteful number, since it uses less digits than its factorization.

19740552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 19740552 is about 4443.0340984512. The cubic root of 19740552 is about 270.2628989391.

The spelling of 19740552 in words is "nineteen million, seven hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 157 169 186 248 312 314 338 372 403 471 507 628 676 744 806 942 1014 1209 1256 1352 1612 1884 2028 2041 2418 3224 3768 4056 4082 4836 4867 5239 6123 8164 9672 9734 10478 12246 14601 15717 16328 19468 20956 24492 26533 29202 31434 38936 41912 48984 53066 58404 62868 63271 79599 106132 116808 125736 126542 159198 189813 212264 253084 318396 379626 506168 636792 759252 822523 1518504 1645046 2467569 3290092 4935138 6580184 9870276 19740552