Search a number
-
+
19883124 = 2233712593
BaseRepresentation
bin100101111011…
…0010001110100
31101102011112000
41023312101310
520042224444
61550055300
7331001202
oct113662164
941364460
1019883124
1110250538
1267aa530
134172181
1428d8072
151b2b469
hex12f6474

19883124 has 48 divisors (see below), whose sum is σ = 52295040. Its totient is φ = 6531840.

The previous prime is 19883119. The next prime is 19883131. The reversal of 19883124 is 42138891.

It is a Harshad number since it is a multiple of its sum of digits (36).

19883124 is a modest number, since divided by 3124 gives 1988 as remainder.

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 15 ways as a sum of consecutive naturals, for example, 6372 + ... + 8964.

It is an arithmetic number, because the mean of its divisors is an integer number (1089480).

Almost surely, 219883124 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 19883124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26147520).

19883124 is an abundant number, since it is smaller than the sum of its proper divisors (32411916).

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

19883124 is a wasteful number, since it uses less digits than its factorization.

19883124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2669 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 19883124 is about 4459.0496745383. The cubic root of 19883124 is about 270.9119778763.

The spelling of 19883124 in words is "nineteen million, eight hundred eighty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 2593 3834 5186 7668 7779 10372 15558 23337 31116 46674 70011 93348 140022 184103 280044 368206 552309 736412 1104618 1656927 2209236 3313854 4970781 6627708 9941562 19883124