[go: up one dir, main page]

Search a number
-
+
19115136 = 27335531
BaseRepresentation
bin100100011101…
…0110010000000
31022222011001000
41020322302000
514343141021
61521412000
7321322155
oct110726200
938864030
1019115136
11a876537
12649a000
133c63741
14277822c
151a28b26
hex123ac80

19115136 has 64 divisors (see below), whose sum is σ = 56426400. Its totient is φ = 6370560.

The previous prime is 19115119. The next prime is 19115137. The reversal of 19115136 is 63151191.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (19115137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 691 + ... + 6221.

Almost surely, 219115136 is an apocalyptic number.

19115136 is a gapful number since it is divisible by the number (16) 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 19115136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28213200).

19115136 is an abundant number, since it is smaller than the sum of its proper divisors (37311264).

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

19115136 is an equidigital number, since it uses as much as digits as its factorization.

19115136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5536 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 19115136 is about 4372.0860009840. The cubic root of 19115136 is about 267.3780781912.

The spelling of 19115136 in words is "nineteen million, one hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 5531 11062 16593 22124 33186 44248 49779 66372 88496 99558 132744 149337 176992 199116 265488 298674 353984 398232 530976 597348 707968 796464 1061952 1194696 1592928 2123904 2389392 3185856 4778784 6371712 9557568 19115136