Search a number
-
+
19317312 = 263371597
BaseRepresentation
bin100100110110…
…0001001000000
31100100102101000
41021230021000
514421123222
61530012000
7323123460
oct111541100
940312330
1019317312
11a9a4423
126577000
134004781
1427cbba0
151a689ac
hex126c240

19317312 has 112 divisors (see below), whose sum is σ = 64942720. Its totient is φ = 5515776.

The previous prime is 19317301. The next prime is 19317313. The reversal of 19317312 is 21371391.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19317313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11298 + ... + 12894.

Almost surely, 219317312 is an apocalyptic number.

19317312 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 19317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32471360).

19317312 is an abundant number, since it is smaller than the sum of its proper divisors (45625408).

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

19317312 is a wasteful number, since it uses less digits than its factorization.

19317312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1609 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 19317312 is about 4395.1464139435. The cubic root of 19317312 is about 268.3174377718.

The spelling of 19317312 in words is "nineteen million, three hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1597 1728 2016 3024 3194 4032 4791 6048 6388 9582 11179 12096 12776 14373 19164 22358 25552 28746 33537 38328 43119 44716 51104 57492 67074 76656 86238 89432 100611 102208 114984 134148 153312 172476 178864 201222 229968 268296 301833 306624 344952 357728 402444 459936 536592 603666 689904 715456 804888 919872 1073184 1207332 1379808 1609776 2146368 2414664 2759616 3219552 4829328 6439104 9658656 19317312