Search a number
-
+
19304140 = 2252983401
BaseRepresentation
bin100100110100…
…0111011001100
31100022202022011
41021220323030
514420213030
61525431004
7323040202
oct111507314
940282264
1019304140
11a995539
12656b464
133ccb78b
1427c7072
151a64b2a
hex1268ecc

19304140 has 48 divisors (see below), whose sum is σ = 42547680. Its totient is φ = 7347200.

The previous prime is 19304123. The next prime is 19304141. The reversal of 19304140 is 4140391.

19304140 = T73 + T74 + ... + T487.

It is a super-2 number, since 2×193041402 = 745299642279200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19304141) 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, 47940 + ... + 48340.

It is an arithmetic number, because the mean of its divisors is an integer number (886410).

Almost surely, 219304140 is an apocalyptic number.

19304140 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 19304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273840).

19304140 is an abundant number, since it is smaller than the sum of its proper divisors (23243540).

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

19304140 is a wasteful number, since it uses less digits than its factorization.

19304140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 19304140 is about 4393.6476872867. The cubic root of 19304140 is about 268.2564375507.

The spelling of 19304140 in words is "nineteen million, three hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 332 401 415 580 802 830 1604 1660 2005 2407 4010 4814 8020 9628 11629 12035 23258 24070 33283 46516 48140 58145 66566 116290 133132 166415 232580 332830 665660 965207 1930414 3860828 4826035 9652070 19304140