[go: up one dir, main page]

Search a number
-
+
19408116 = 22372132539
BaseRepresentation
bin100101000001…
…0010011110100
31100112000221010
41022002103310
514432024431
61531552220
7323652300
oct112022364
940460833
1019408116
11aa56672
1265bb670
134036bc0
142812d00
151a85846
hex12824f4

19408116 has 72 divisors (see below), whose sum is σ = 56753760. Its totient is φ = 5116608.

The previous prime is 19408111. The next prime is 19408121. The reversal of 19408116 is 61180491.

It is an interprime number because it is at equal distance from previous prime (19408111) and next prime (19408121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19408111) 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, 6375 + ... + 8913.

Almost surely, 219408116 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 19408116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28376880).

19408116 is an abundant number, since it is smaller than the sum of its proper divisors (37345644).

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

19408116 is a wasteful number, since it uses less digits than its factorization.

19408116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 19408116 is about 4405.4643342104. The cubic root of 19408116 is about 268.7372032126.

The spelling of 19408116 in words is "nineteen million, four hundred eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2539 2548 3822 5078 7617 7644 10156 15234 17773 30468 33007 35546 53319 66014 71092 99021 106638 124411 132028 198042 213276 231049 248822 373233 396084 462098 497644 693147 746466 924196 1386294 1492932 1617343 2772588 3234686 4852029 6469372 9704058 19408116