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19927152 = 2432753373
BaseRepresentation
bin100110000000…
…1000001110000
31101111101220200
41030001001300
520100132102
61551035200
7331243440
oct114010160
941441820
1019927152
1110280623
12680bb00
13418921b
14290a120
151b3951c
hex1301070

19927152 has 120 divisors (see below), whose sum is σ = 65111904. Its totient is φ = 5571072.

The previous prime is 19927151. The next prime is 19927153. The reversal of 19927152 is 25172991.

It is an interprime number because it is at equal distance from previous prime (19927151) and next prime (19927153).

It is a super-2 number, since 2×199271522 = 794182773662208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19927151) 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 23 ways as a sum of consecutive naturals, for example, 53238 + ... + 53610.

Almost surely, 219927152 is an apocalyptic number.

19927152 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 19927152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32555952).

19927152 is an abundant number, since it is smaller than the sum of its proper divisors (45184752).

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

19927152 is a wasteful number, since it uses less digits than its factorization.

19927152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 19927152 is about 4463.9838709386. The cubic root of 19927152 is about 271.1117942193. Note that the first 3 decimals are identical.

The spelling of 19927152 in words is "nineteen million, nine hundred twenty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 373 424 477 504 636 742 746 848 954 1008 1113 1119 1272 1484 1492 1908 2226 2238 2544 2611 2968 2984 3339 3357 3816 4452 4476 5222 5936 5968 6678 6714 7632 7833 8904 8952 10444 13356 13428 15666 17808 17904 19769 20888 23499 26712 26856 31332 39538 41776 46998 53424 53712 59307 62664 79076 93996 118614 125328 138383 158152 177921 187992 237228 276766 316304 355842 375984 415149 474456 553532 711684 830298 948912 1107064 1245447 1423368 1660596 2214128 2490894 2846736 3321192 4981788 6642384 9963576 19927152