Search a number
-
+
1683953436 = 2231125749639
BaseRepresentation
bin110010001011111…
…0001011100011100
311100100122200211210
41210113301130130
511422043002221
6435032544420
756505240144
oct14427613434
94310580753
101683953436
11794603160
123abb52110
1320ab4b769
1411d909924
159cc84276
hex645f171c

1683953436 has 48 divisors (see below), whose sum is σ = 4303192320. Its totient is φ = 508293120.

The previous prime is 1683953431. The next prime is 1683953461. The reversal of 1683953436 is 6343593861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683953431) 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, 9105 + ... + 58743.

It is an arithmetic number, because the mean of its divisors is an integer number (89649840).

Almost surely, 21683953436 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 1683953436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151596160).

1683953436 is an abundant number, since it is smaller than the sum of its proper divisors (2619238884).

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

1683953436 is a wasteful number, since it uses less digits than its factorization.

1683953436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49914 (or 49912 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 1683953436 is about 41036.0017058192. The cubic root of 1683953436 is about 1189.7161566741.

The spelling of 1683953436 in words is "one billion, six hundred eighty-three million, nine hundred fifty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 257 514 771 1028 1542 2827 3084 5654 8481 11308 16962 33924 49639 99278 148917 198556 297834 546029 595668 1092058 1638087 2184116 3276174 6552348 12757223 25514446 38271669 51028892 76543338 140329453 153086676 280658906 420988359 561317812 841976718 1683953436