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19378968 = 233731612
BaseRepresentation
bin100100111101…
…1001100011000
31100110112221120
41021323030120
514430111333
61531205240
7323501310
oct111731430
940415846
1019378968
11aa36784
1265a6820
13402685b
142806440
151a7bdb3
hex127b318

19378968 has 96 divisors (see below), whose sum is σ = 58106880. Its totient is φ = 5270400.

The previous prime is 19378967. The next prime is 19378969. The reversal of 19378968 is 86987391.

It is an interprime number because it is at equal distance from previous prime (19378967) and next prime (19378969).

It is a self number, because there is not a number n which added to its sum of digits gives 19378968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19378967) 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, 317658 + ... + 317718.

It is an arithmetic number, because the mean of its divisors is an integer number (605280).

Almost surely, 219378968 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 19378968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29053440).

19378968 is an abundant number, since it is smaller than the sum of its proper divisors (38727912).

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

19378968 is a wasteful number, since it uses less digits than its factorization.

19378968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 104 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 19378968 is about 4402.1549268512. The cubic root of 19378968 is about 268.6026018484.

The spelling of 19378968 in words is "nineteen million, three hundred seventy-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 61 62 84 93 122 124 168 183 186 217 244 248 366 372 427 434 488 651 732 744 854 868 1281 1302 1464 1708 1736 1891 2562 2604 3416 3721 3782 5124 5208 5673 7442 7564 10248 11163 11346 13237 14884 15128 22326 22692 26047 26474 29768 39711 44652 45384 52094 52948 78141 79422 89304 104188 105896 115351 156282 158844 208376 230702 312564 317688 346053 461404 625128 692106 807457 922808 1384212 1614914 2422371 2768424 3229828 4844742 6459656 9689484 19378968