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19292140 = 2257413361
BaseRepresentation
bin100100110010…
…1111111101100
31100022010211201
41021211333230
514414322030
61525255244
7322660210
oct111457754
940263751
1019292140
11a98751a
126564524
133cc618a
1427c2940
151a612ca
hex1265fec

19292140 has 48 divisors (see below), whose sum is σ = 47444544. Its totient is φ = 6451200.

The previous prime is 19292123. The next prime is 19292149. The reversal of 19292140 is 4129291.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 19292099 and 19292108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19292149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4060 + ... + 7420.

It is an arithmetic number, because the mean of its divisors is an integer number (988428).

Almost surely, 219292140 is an apocalyptic number.

19292140 is a gapful number since it is divisible by the number (10) 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 19292140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23722272).

19292140 is an abundant number, since it is smaller than the sum of its proper divisors (28152404).

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

19292140 is a wasteful number, since it uses less digits than its factorization.

19292140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 19292140 is about 4392.2818670937. The cubic root of 19292140 is about 268.2008407633.

The spelling of 19292140 in words is "nineteen million, two hundred ninety-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 3361 5740 6722 13444 16805 23527 33610 47054 67220 94108 117635 137801 235270 275602 470540 551204 689005 964607 1378010 1929214 2756020 3858428 4823035 9646070 19292140