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19294968 = 23371153197
BaseRepresentation
bin100100110011…
…0101011111000
31100022021201110
41021212223320
514414414333
61525320320
7323001360
oct111465370
940267643
1019294968
11a989660
1265660a0
133cc7554
1427c39a0
151a62063
hex1266af8

19294968 has 128 divisors (see below), whose sum is σ = 61585920. Its totient is φ = 4892160.

The previous prime is 19294921. The next prime is 19294981. The reversal of 19294968 is 86949291.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97846 + ... + 98042.

It is an arithmetic number, because the mean of its divisors is an integer number (481140).

Almost surely, 219294968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19294968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30792960).

19294968 is an abundant number, since it is smaller than the sum of its proper divisors (42290952).

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

19294968 is a wasteful number, since it uses less digits than its factorization.

19294968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 19294968 is about 4392.6037836345. The cubic root of 19294968 is about 268.2139451488.

The spelling of 19294968 in words is "nineteen million, two hundred ninety-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 53 56 66 77 84 88 106 132 154 159 168 197 212 231 264 308 318 371 394 424 462 583 591 616 636 742 788 924 1113 1166 1182 1272 1379 1484 1576 1749 1848 2167 2226 2332 2364 2758 2968 3498 4081 4137 4334 4452 4664 4728 5516 6501 6996 8162 8274 8668 8904 10441 11032 12243 13002 13992 15169 16324 16548 17336 20882 24486 26004 30338 31323 32648 33096 41764 45507 48972 52008 60676 62646 73087 83528 91014 97944 114851 121352 125292 146174 182028 219261 229702 250584 292348 344553 364056 438522 459404 584696 689106 803957 877044 918808 1378212 1607914 1754088 2411871 2756424 3215828 4823742 6431656 9647484 19294968