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19897332 = 223721319137
BaseRepresentation
bin100101111100…
…1101111110100
31101102220000020
41023321233310
520043203312
61550245140
7331060500
oct113715764
941386006
1019897332
1110260184
1267b67b0
134178790
1428dd300
151b3078c
hex12f9bf4

19897332 has 144 divisors (see below), whose sum is σ = 61669440. Its totient is φ = 4935168.

The previous prime is 19897331. The next prime is 19897333. The reversal of 19897332 is 23379891.

It is an interprime number because it is at equal distance from previous prime (19897331) and next prime (19897333).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19897331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145168 + ... + 145304.

It is an arithmetic number, because the mean of its divisors is an integer number (428260).

Almost surely, 219897332 is an apocalyptic number.

19897332 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 19897332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30834720).

19897332 is an abundant number, since it is smaller than the sum of its proper divisors (41772108).

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

19897332 is a wasteful number, since it uses less digits than its factorization.

19897332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 181 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 19897332 is about 4460.6425546103. The cubic root of 19897332 is about 270.9764915633.

The spelling of 19897332 in words is "nineteen million, eight hundred ninety-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 137 147 156 182 196 228 247 266 273 274 294 364 399 411 494 532 546 548 588 637 741 798 822 931 959 988 1092 1274 1482 1596 1644 1729 1781 1862 1911 1918 2548 2603 2793 2877 2964 3458 3562 3724 3822 3836 5187 5206 5343 5586 5754 6713 6916 7124 7644 7809 10374 10412 10686 11172 11508 12103 12467 13426 15618 18221 20139 20748 21372 24206 24934 26852 31236 33839 36309 36442 37401 40278 48412 49868 54663 67678 72618 72884 74802 80556 87269 101517 109326 127547 135356 145236 149604 174538 203034 218652 236873 255094 261807 349076 382641 406068 473746 510188 523614 710619 765282 947492 1047228 1421238 1530564 1658111 2842476 3316222 4974333 6632444 9948666 19897332