Search a number
-
+
1232412030 = 233541163683
BaseRepresentation
bin100100101110101…
…0001110101111110
310011220000000111000
41021131101311332
510010444141110
6322142511130
742353220663
oct11135216576
93156000430
101232412030
11582734443
122a48954a6
131684322b5
14b9969a6a
15732de1c0
hex49751d7e

1232412030 has 128 divisors (see below), whose sum is σ = 3392202240. Its totient is φ = 318193920.

The previous prime is 1232412007. The next prime is 1232412089. The reversal of 1232412030 is 302142321.

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 = 1232411994 and 1232412012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1804069 + ... + 1804751.

It is an arithmetic number, because the mean of its divisors is an integer number (26501580).

Almost surely, 21232412030 is an apocalyptic number.

1232412030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232412030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696101120).

1232412030 is an abundant number, since it is smaller than the sum of its proper divisors (2159790210).

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

1232412030 is a wasteful number, since it uses less digits than its factorization.

1232412030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1232412030 is about 35105.7264559502. The cubic root of 1232412030 is about 1072.1411778266.

Adding to 1232412030 its reverse (302142321), we get a palindrome (1534554351).

The spelling of 1232412030 in words is "one billion, two hundred thirty-two million, four hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 163 205 246 270 326 369 410 489 615 683 738 815 978 1107 1230 1366 1467 1630 1845 2049 2214 2445 2934 3415 3690 4098 4401 4890 5535 6147 6683 6830 7335 8802 10245 11070 12294 13366 14670 18441 20049 20490 22005 28003 30735 33415 36882 40098 44010 56006 60147 61470 66830 84009 92205 100245 111329 120294 140015 168018 180441 184410 200490 222658 252027 280030 300735 333987 360882 420045 504054 556645 601470 667974 756081 840090 902205 1001961 1113290 1260135 1512162 1669935 1804410 2003922 2520270 3005883 3339870 3780405 4564489 5009805 6011766 7560810 9128978 10019610 13693467 15029415 22822445 27386934 30058830 41080401 45644890 68467335 82160802 123241203 136934670 205402005 246482406 410804010 616206015 1232412030