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1232123440 = 245157263373
BaseRepresentation
bin100100101110000…
…1011011000110000
310011212110100121111
41021130023120300
510010410422230
6322132403104
742350606422
oct11134133060
93155410544
101232123440
11582557639
122a4776494
13168360b32
14b98d2812
157328392a
hex4970b630

1232123440 has 80 divisors (see below), whose sum is σ = 2901653568. Its totient is φ = 486540288.

The previous prime is 1232123437. The next prime is 1232123441. The reversal of 1232123440 is 443212321.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1232123441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3303094 + ... + 3303466.

Almost surely, 21232123440 is an apocalyptic number.

1232123440 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 1232123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450826784).

1232123440 is an abundant number, since it is smaller than the sum of its proper divisors (1669530128).

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

1232123440 is a wasteful number, since it uses less digits than its factorization.

1232123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1232123440 is about 35101.6159172195. The cubic root of 1232123440 is about 1072.0574846652.

Adding to 1232123440 its reverse (443212321), we get a palindrome (1675335761).

The spelling of 1232123440 in words is "one billion, two hundred thirty-two million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 263 314 373 526 628 746 785 1052 1256 1315 1492 1570 1865 2104 2512 2630 2984 3140 3730 4208 5260 5968 6280 7460 10520 12560 14920 21040 29840 41291 58561 82582 98099 117122 165164 196198 206455 234244 292805 330328 392396 412910 468488 490495 585610 660656 784792 825820 936976 980990 1171220 1569584 1651640 1961980 2342440 3303280 3923960 4684880 7847920 15401543 30803086 61606172 77007715 123212344 154015430 246424688 308030860 616061720 1232123440