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19302912 = 29325971
BaseRepresentation
bin100100110100…
…0101000000000
31100022200121200
41021220220000
514420143122
61525421200
7323033466
oct111505000
940280550
1019302912
11a994622
12656a800
133ccb055
1427c6836
151a645ac
hex1268a00

19302912 has 120 divisors (see below), whose sum is σ = 57451680. Its totient is φ = 6236160.

The previous prime is 19302887. The next prime is 19302929. The reversal of 19302912 is 21920391.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 271837 + ... + 271907.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 219302912 is an apocalyptic number.

19302912 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 19302912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28725840).

19302912 is an abundant number, since it is smaller than the sum of its proper divisors (38148768).

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

19302912 is an equidigital number, since it uses as much as digits as its factorization.

19302912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 19302912 is about 4393.5079378556. The cubic root of 19302912 is about 268.2507492045.

The spelling of 19302912 in words is "nineteen million, three hundred two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 71 72 96 118 128 142 144 177 192 213 236 256 284 288 354 384 426 472 512 531 568 576 639 708 768 852 944 1062 1136 1152 1278 1416 1536 1704 1888 2124 2272 2304 2556 2832 3408 3776 4189 4248 4544 4608 5112 5664 6816 7552 8378 8496 9088 10224 11328 12567 13632 15104 16756 16992 18176 20448 22656 25134 27264 30208 33512 33984 36352 37701 40896 45312 50268 54528 67024 67968 75402 81792 90624 100536 109056 134048 135936 150804 163584 201072 268096 271872 301608 327168 402144 536192 603216 804288 1072384 1206432 1608576 2144768 2412864 3217152 4825728 6434304 9651456 19302912