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1064450040 = 2335371491609
BaseRepresentation
bin111111011100100…
…011011111111000
32202011221122221120
4333130203133320
54134444400130
6253342505240
735243450613
oct7734433770
92664848846
101064450040
114a6944085
12258595220
1313c6b47c4
14a152717a
15636b2910
hex3f7237f8

1064450040 has 128 divisors (see below), whose sum is σ = 3303720000. Its totient is φ = 274157568.

The previous prime is 1064450033. The next prime is 1064450047. The reversal of 1064450040 is 400544601.

It is an interprime number because it is at equal distance from previous prime (1064450033) and next prime (1064450047).

It is a super-4 number, since 4×10644500404 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064450047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660756 + ... + 662364.

Almost surely, 21064450040 is an apocalyptic number.

1064450040 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 1064450040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651860000).

1064450040 is an abundant number, since it is smaller than the sum of its proper divisors (2239269960).

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

1064450040 is a wasteful number, since it uses less digits than its factorization.

1064450040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1064450040 is about 32625.9105620058. The cubic root of 1064450040 is about 1021.0376598950.

Adding to 1064450040 its reverse (400544601), we get a palindrome (1464994641).

The spelling of 1064450040 in words is "one billion, sixty-four million, four hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 149 185 222 296 298 370 444 447 555 596 740 745 888 894 1110 1192 1480 1490 1609 1788 2220 2235 2980 3218 3576 4440 4470 4827 5513 5960 6436 8045 8940 9654 11026 12872 16090 16539 17880 19308 22052 24135 27565 32180 33078 38616 44104 48270 55130 59533 64360 66156 82695 96540 110260 119066 132312 165390 178599 193080 220520 238132 239741 297665 330780 357198 476264 479482 595330 661560 714396 719223 892995 958964 1190660 1198705 1428792 1438446 1785990 1917928 2381320 2397410 2876892 3571980 3596115 4794820 5753784 7143960 7192230 8870417 9589640 14384460 17740834 26611251 28768920 35481668 44352085 53222502 70963336 88704170 106445004 133056255 177408340 212890008 266112510 354816680 532225020 1064450040