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19134192 = 24371131167
BaseRepresentation
bin100100011111…
…1011011110000
31100000010011210
41020333123300
514344243232
61522040120
7321431550
oct110773360
940003153
1019134192
11a889890
1264a9040
133c6c30c
142781160
151a2e5cc
hex123f6f0

19134192 has 160 divisors (see below), whose sum is σ = 63995904. Its totient is φ = 4780800.

The previous prime is 19134191. The next prime is 19134211. The reversal of 19134192 is 29143191.

It is a super-2 number, since 2×191341922 = 732234606985728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19134191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114493 + ... + 114659.

Almost surely, 219134192 is an apocalyptic number.

19134192 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 19134192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31997952).

19134192 is an abundant number, since it is smaller than the sum of its proper divisors (44861712).

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

19134192 is a wasteful number, since it uses less digits than its factorization.

19134192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 19134192 is about 4374.2647382160. The cubic root of 19134192 is about 267.4668989816.

It can be divided in two parts, 1913 and 4192, that added together give a triangular number (6105 = T110).

The spelling of 19134192 in words is "nineteen million, one hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 33 42 44 48 56 62 66 77 84 88 93 112 124 132 154 167 168 176 186 217 231 248 264 308 334 336 341 372 434 462 496 501 528 616 651 668 682 744 868 924 1002 1023 1169 1232 1302 1336 1364 1488 1736 1837 1848 2004 2046 2338 2387 2604 2672 2728 3472 3507 3674 3696 4008 4092 4676 4774 5177 5208 5456 5511 7014 7161 7348 8016 8184 9352 9548 10354 10416 11022 12859 14028 14322 14696 15531 16368 18704 19096 20708 22044 25718 28056 28644 29392 31062 36239 38192 38577 41416 44088 51436 56112 56947 57288 62124 72478 77154 82832 88176 102872 108717 113894 114576 124248 144956 154308 170841 205744 217434 227788 248496 289912 308616 341682 398629 434868 455576 579824 617232 683364 797258 869736 911152 1195887 1366728 1594516 1739472 2391774 2733456 3189032 4783548 6378064 9567096 19134192