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1232893240 = 235295032113
BaseRepresentation
bin100100101111100…
…0111010100111000
310011220220110120121
41021133013110320
510011110040430
6322201103024
742360263635
oct11137072470
93156813517
101232893240
11582a32a37
122a4a87a74
13168570337
14b9a5318c
1573386a7a
hex497c7538

1232893240 has 64 divisors (see below), whose sum is σ = 2876731200. Its totient is φ = 474980352.

The previous prime is 1232893217. The next prime is 1232893253. The reversal of 1232893240 is 423982321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1232893196 and 1232893205.

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, 582424 + ... + 584536.

It is an arithmetic number, because the mean of its divisors is an integer number (44948925).

Almost surely, 21232893240 is an apocalyptic number.

1232893240 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 1232893240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438365600).

1232893240 is an abundant number, since it is smaller than the sum of its proper divisors (1643837960).

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

1232893240 is a wasteful number, since it uses less digits than its factorization.

1232893240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 1232893240 is about 35112.5795121919. The cubic root of 1232893240 is about 1072.2807031121.

The spelling of 1232893240 in words is "one billion, two hundred thirty-two million, eight hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 503 580 1006 1160 2012 2113 2515 4024 4226 5030 8452 10060 10565 14587 16904 20120 21130 29174 42260 58348 61277 72935 84520 116696 122554 145870 245108 291740 306385 490216 583480 612770 1062839 1225540 2125678 2451080 4251356 5314195 8502712 10628390 21256780 30822331 42513560 61644662 123289324 154111655 246578648 308223310 616446620 1232893240