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1040443380 = 223105881
BaseRepresentation
bin111110000000111…
…110011111110100
32200111210000000000
4332000332133310
54112323142010
6251124151300
734532423424
oct7600763764
92614700000
101040443380
11494337569
12250538530
1313772a792
149c278484
156151e7c0
hex3e03e7f4

1040443380 has 132 divisors (see below), whose sum is σ = 3281098212. Its totient is φ = 277136640.

The previous prime is 1040443379. The next prime is 1040443399. The reversal of 1040443380 is 833440401.

It can be written as a sum of positive squares in 2 ways, for example, as 273042576 + 767400804 = 16524^2 + 27702^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 1180540 + ... + 1181420.

Almost surely, 21040443380 is an apocalyptic number.

1040443380 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 1040443380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640549106).

1040443380 is an abundant number, since it is smaller than the sum of its proper divisors (2240654832).

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

1040443380 is an frugal number, since it uses more digits than its factorization.

1040443380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1040443380 is about 32255.9045757517. The cubic root of 1040443380 is about 1013.3033624080.

Adding to 1040443380 its reverse (833440401), we get a palindrome (1873883781).

The spelling of 1040443380 in words is "one billion, forty million, four hundred forty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 881 972 1215 1458 1620 1762 2187 2430 2643 2916 3524 3645 4374 4405 4860 5286 6561 7290 7929 8748 8810 10572 10935 13122 13215 14580 15858 17620 19683 21870 23787 26244 26430 31716 32805 39366 39645 43740 47574 52860 59049 65610 71361 78732 79290 95148 98415 118098 118935 131220 142722 158580 196830 214083 236196 237870 285444 295245 356805 393660 428166 475740 590490 642249 713610 856332 1070415 1180980 1284498 1427220 1926747 2140830 2568996 3211245 3853494 4281660 5780241 6422490 7706988 9633735 11560482 12844980 17340723 19267470 23120964 28901205 34681446 38534940 52022169 57802410 69362892 86703615 104044338 115604820 173407230 208088676 260110845 346814460 520221690 1040443380