Search a number
-
+
19100124 = 2234167353
BaseRepresentation
bin100100011011…
…1000111011100
31022221101110000
41020313013130
514342200444
61521214300
7321230331
oct110670734
938841400
1019100124
11a86622a
126491390
133c59964
142772988
151a24469
hex12371dc

19100124 has 60 divisors (see below), whose sum is σ = 50372784. Its totient is φ = 6310656.

The previous prime is 19100119. The next prime is 19100131. The reversal of 19100124 is 42100191.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 19100097 and 19100106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53932 + ... + 54284.

Almost surely, 219100124 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 19100124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25186392).

19100124 is an abundant number, since it is smaller than the sum of its proper divisors (31272660).

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

19100124 is a wasteful number, since it uses less digits than its factorization.

19100124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 19100124 is about 4370.3688631510. The cubic root of 19100124 is about 267.3080650712.

The spelling of 19100124 in words is "nineteen million, one hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 167 324 334 353 501 668 706 1002 1059 1412 1503 2004 2118 3006 3177 4236 4509 6012 6354 9018 9531 12708 13527 18036 19062 27054 28593 38124 54108 57186 58951 114372 117902 176853 235804 353706 530559 707412 1061118 1591677 2122236 3183354 4775031 6366708 9550062 19100124