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1233008940 = 223521799431
BaseRepresentation
bin100100101111110…
…0011100100101100
310011221010100021210
41021133203210230
510011122241230
6322203354420
742361255152
oct11137434454
93157110253
101233008940
11583001959
122a4b22a10
131685b0bb7
14b9a833d2
15733aaeb0
hex497e392c

1233008940 has 48 divisors (see below), whose sum is σ = 3454375680. Its totient is φ = 328616640.

The previous prime is 1233008923. The next prime is 1233008947. The reversal of 1233008940 is 498003321.

1233008940 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12330089402 = 3040622092239847200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1233008898 and 1233008907.

It is not an unprimeable number, because it can be changed into a prime (1233008947) 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, 126025 + ... + 135455.

It is an arithmetic number, because the mean of its divisors is an integer number (71966160).

Almost surely, 21233008940 is an apocalyptic number.

1233008940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233008940 is an abundant number, since it is smaller than the sum of its proper divisors (2221366740).

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

1233008940 is a wasteful number, since it uses less digits than its factorization.

1233008940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11622 (or 11620 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1233008940 is about 35114.2270312191. The cubic root of 1233008940 is about 1072.3142445394.

The spelling of 1233008940 in words is "one billion, two hundred thirty-three million, eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2179 4358 6537 8716 9431 10895 13074 18862 21790 26148 28293 32685 37724 43580 47155 56586 65370 94310 113172 130740 141465 188620 282930 565860 20550149 41100298 61650447 82200596 102750745 123300894 205501490 246601788 308252235 411002980 616504470 1233008940