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19149312 = 293713137
BaseRepresentation
bin100100100001…
…1001000000000
31100000212220210
41021003020000
514400234222
61522234120
7321523620
oct111031000
940025823
1019149312
11a89a186
1264b5940
133c76170
142786880
151a33d0c
hex1243200

19149312 has 160 divisors (see below), whose sum is σ = 63245952. Its totient is φ = 5013504.

The previous prime is 19149301. The next prime is 19149323. The reversal of 19149312 is 21394191.

It is an interprime number because it is at equal distance from previous prime (19149301) and next prime (19149323).

Its product of digits (1944) is a multiple of the sum of its prime divisors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 19149312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139708 + ... + 139844.

Almost surely, 219149312 is an apocalyptic number.

19149312 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 19149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31622976).

19149312 is an abundant number, since it is smaller than the sum of its proper divisors (44096640).

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

19149312 is a wasteful number, since it uses less digits than its factorization.

19149312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 19149312 is about 4375.9926873796. The cubic root of 19149312 is about 267.5373319662.

It can be divided in two parts, 19 and 149312, that added together give a triangular number (149331 = T546).

The spelling of 19149312 in words is "nineteen million, one hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 137 156 168 182 192 208 224 256 273 274 312 336 364 384 411 416 448 512 546 548 624 672 728 768 822 832 896 959 1092 1096 1248 1344 1456 1536 1644 1664 1781 1792 1918 2184 2192 2496 2688 2877 2912 3288 3328 3562 3584 3836 4368 4384 4992 5343 5376 5754 5824 6576 6656 7124 7672 8736 8768 9984 10686 10752 11508 11648 12467 13152 14248 15344 17472 17536 19968 21372 23016 23296 24934 26304 28496 30688 34944 35072 37401 42744 46032 46592 49868 52608 56992 61376 69888 70144 74802 85488 92064 99736 105216 113984 122752 139776 149604 170976 184128 199472 210432 227968 245504 299208 341952 368256 398944 455936 491008 598416 683904 736512 797888 911872 1196832 1367808 1473024 1595776 2393664 2735616 3191552 4787328 6383104 9574656 19149312