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1233460540 = 2251311341983
BaseRepresentation
bin100100110000101…
…0001110100111100
310011221222021202201
41021201101310330
510011231214130
6322221201244
742365145604
oct11141216474
93157867681
101233460540
11583290184
122a5100224
1316870b610
14b9b5dc04
1573449bca
hex49851d3c

1233460540 has 48 divisors (see below), whose sum is σ = 2814271488. Its totient is φ = 451390464.

The previous prime is 1233460531. The next prime is 1233460589. The reversal of 1233460540 is 450643321.

It is a junction number, because it is equal to n+sod(n) for n = 1233460499 and 1233460508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8389 + ... + 50371.

It is an arithmetic number, because the mean of its divisors is an integer number (58630656).

Almost surely, 21233460540 is an apocalyptic number.

1233460540 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 1233460540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407135744).

1233460540 is an abundant number, since it is smaller than the sum of its proper divisors (1580810948).

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

1233460540 is a wasteful number, since it uses less digits than its factorization.

1233460540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42118 (or 42116 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1233460540 is about 35120.6568845174. The cubic root of 1233460540 is about 1072.4451432939.

The spelling of 1233460540 in words is "one billion, two hundred thirty-three million, four hundred sixty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5876 7345 14690 29380 41983 83966 167932 209915 419830 545779 839660 1091558 2183116 2728895 4744079 5457790 9488158 10915580 18976316 23720395 47440790 61673027 94881580 123346054 246692108 308365135 616730270 1233460540