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19374012 = 223373523
BaseRepresentation
bin100100111100…
…1111110111100
31100110022011000
41021321332330
514424432022
61531130300
7323451000
oct111717674
940408130
1019374012
11aa32a89
1265a3990
134024518
142804700
151a7a6ac
hex1279fbc

19374012 has 96 divisors (see below), whose sum is σ = 58688000. Its totient is φ = 5524848.

The previous prime is 19373989. The next prime is 19374013. The reversal of 19374012 is 21047391.

It is a super-2 number, since 2×193740122 = 750704681952288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19374013) 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, 36783 + ... + 37305.

Almost surely, 219374012 is an apocalyptic number.

19374012 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 19374012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29344000).

19374012 is an abundant number, since it is smaller than the sum of its proper divisors (39313988).

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

19374012 is a wasteful number, since it uses less digits than its factorization.

19374012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 19374012 is about 4401.5919847255. The cubic root of 19374012 is about 268.5797023147.

The spelling of 19374012 in words is "nineteen million, three hundred seventy-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 523 588 686 756 882 1029 1046 1323 1372 1569 1764 2058 2092 2646 3087 3138 3661 4116 4707 5292 6174 6276 7322 9261 9414 10983 12348 14121 14644 18522 18828 21966 25627 28242 32949 37044 43932 51254 56484 65898 76881 98847 102508 131796 153762 179389 197694 230643 307524 358778 395388 461286 538167 691929 717556 922572 1076334 1383858 1614501 2152668 2767716 3229002 4843503 6458004 9687006 19374012