Search a number
-
+
1232053020 = 2232511622249
BaseRepresentation
bin100100101101111…
…1010001100011100
310011212022210000100
41021123322030130
510010401144040
6322131101100
742350164212
oct11133721434
93155283010
101232053020
11582509740
122a4741790
13168337a73
14b98b4cb2
157326cb30
hex496fa31c

1232053020 has 72 divisors (see below), whose sum is σ = 4076982000. Its totient is φ = 298679040.

The previous prime is 1232053013. The next prime is 1232053027. The reversal of 1232053020 is 203502321.

1232053020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1232053013) and next prime (1232053027).

It is a super-2 number, since 2×12320530202 = 3035909288182240800, which contains 22 as substring.

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 = 1232052984 and 1232053002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232053027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309145 + ... + 313104.

It is an arithmetic number, because the mean of its divisors is an integer number (56624750).

Almost surely, 21232053020 is an apocalyptic number.

1232053020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1232053020 is an abundant number, since it is smaller than the sum of its proper divisors (2844928980).

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

1232053020 is a wasteful number, since it uses less digits than its factorization.

1232053020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622275 (or 622270 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1232053020 is about 35100.6128151632. The cubic root of 1232053020 is about 1072.0370603787.

Adding to 1232053020 its reverse (203502321), we get a palindrome (1435555341).

The spelling of 1232053020 in words is "one billion, two hundred thirty-two million, fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 622249 1244498 1866747 2488996 3111245 3733494 5600241 6222490 6844739 7466988 9333735 11200482 12444980 13689478 18667470 20534217 22400964 27378956 28001205 34223695 37334940 41068434 56002410 61602651 68447390 82136868 102671085 112004820 123205302 136894780 205342170 246410604 308013255 410684340 616026510 1232053020