Search a number
-
+
1232267740 = 22511732772
BaseRepresentation
bin100100101110010…
…1110100111011100
310011212201200112221
41021130232213130
510010430031430
6322135435124
742352050214
oct11134564734
93155650487
101232267740
11582645aa0
122a4825aa4
131683b1712
14b992d244
15732b157a
hex4972e9dc

1232267740 has 72 divisors (see below), whose sum is σ = 2872053072. Its totient is φ = 440363520.

The previous prime is 1232267731. The next prime is 1232267741. The reversal of 1232267740 is 477622321.

It is a junction number, because it is equal to n+sod(n) for n = 1232267696 and 1232267705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232267741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4448482 + ... + 4448758.

It is an arithmetic number, because the mean of its divisors is an integer number (39889626).

Almost surely, 21232267740 is an apocalyptic number.

1232267740 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 1232267740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436026536).

1232267740 is an abundant number, since it is smaller than the sum of its proper divisors (1639785332).

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

1232267740 is a wasteful number, since it uses less digits than its factorization.

1232267740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 1232267740 is about 35103.6713179690. The cubic root of 1232267740 is about 1072.0993343293.

The spelling of 1232267740 in words is "one billion, two hundred thirty-two million, two hundred sixty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 277 292 365 554 730 803 1108 1385 1460 1606 2770 3047 3212 4015 5540 6094 8030 12188 15235 16060 20221 30470 40442 60940 76729 80884 101105 153458 202210 222431 306916 383645 404420 444862 767290 844019 889724 1112155 1534580 1688038 2224310 3376076 4220095 4448620 5601217 8440190 11202434 16880380 22404868 28006085 56012170 61613387 112024340 123226774 246453548 308066935 616133870 1232267740