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1040555432 = 23773331769
BaseRepresentation
bin111110000001011…
…001110110101000
32200111222200201002
4332001121312220
54112340233212
6251130414132
734533401210
oct7601316650
92614880632
101040555432
11494403774
12250591348
13137769797
149c2a7240
1561542ac2
hex3e059da8

1040555432 has 64 divisors (see below), whose sum is σ = 2270083200. Its totient is φ = 437944320.

The previous prime is 1040555377. The next prime is 1040555437. The reversal of 1040555432 is 2345550401.

1040555432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1040555395 and 1040555404.

It is not an unprimeable number, because it can be changed into a prime (1040555437) 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, 1352744 + ... + 1353512.

It is an arithmetic number, because the mean of its divisors is an integer number (35470050).

Almost surely, 21040555432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040555432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135041600).

1040555432 is an abundant number, since it is smaller than the sum of its proper divisors (1229527768).

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

1040555432 is a wasteful number, since it uses less digits than its factorization.

1040555432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 1040555432 is about 32257.6414512903. The cubic root of 1040555432 is about 1013.3397374749.

The spelling of 1040555432 in words is "one billion, forty million, five hundred fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 331 511 584 662 769 1022 1324 1538 2044 2317 2648 3076 4088 4634 5383 6152 9268 10766 18536 21532 24163 43064 48326 56137 96652 112274 169141 193304 224548 254539 338282 392959 449096 509078 676564 785918 1018156 1353128 1571836 1781773 2036312 3143672 3563546 7127092 14254184 18581347 37162694 74325388 130069429 148650776 260138858 520277716 1040555432