[go: up one dir, main page]

Search a number
-
+
1066564368 = 243337531259
BaseRepresentation
bin111111100100100…
…111101100010000
32202022221002021000
4333210213230100
54141020024433
6253500102000
735300435052
oct7744475420
92668832230
101066564368
114a8058661
12259234900
1313cc74c9c
14a19178d2
156397e113
hex3f927b10

1066564368 has 160 divisors (see below), whose sum is σ = 3206044800. Its totient is φ = 339116544.

The previous prime is 1066564361. The next prime is 1066564379. The reversal of 1066564368 is 8634656601.

It is a super-2 number, since 2×10665643682 = 2275119102174478848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066564361) 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, 846523 + ... + 847781.

It is an arithmetic number, because the mean of its divisors is an integer number (20037780).

Almost surely, 21066564368 is an apocalyptic number.

1066564368 is a gapful number since it is divisible by the number (18) 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 1066564368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603022400).

1066564368 is an abundant number, since it is smaller than the sum of its proper divisors (2139480432).

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

1066564368 is a wasteful number, since it uses less digits than its factorization.

1066564368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1066564368 is about 32658.2970774656. The cubic root of 1066564368 is about 1021.7132453000.

The spelling of 1066564368 in words is "one billion, sixty-six million, five hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 53 54 72 74 106 108 111 144 148 159 212 216 222 296 318 333 424 432 444 477 592 636 666 848 888 954 999 1259 1272 1332 1431 1776 1908 1961 1998 2518 2544 2664 2862 3777 3816 3922 3996 5036 5328 5724 5883 7554 7632 7844 7992 10072 11331 11448 11766 15108 15688 15984 17649 20144 22662 22896 23532 30216 31376 33993 35298 45324 46583 47064 52947 60432 66727 67986 70596 90648 93166 94128 105894 133454 135972 139749 141192 181296 186332 200181 211788 266908 271944 279498 282384 372664 400362 419247 423576 533816 543888 558996 600543 745328 800724 838494 847152 1067632 1117992 1201086 1257741 1601448 1676988 1801629 2235984 2402172 2468899 2515482 3202896 3353976 3603258 4804344 4937798 5030964 6707952 7206516 7406697 9608688 9875596 10061928 14413032 14813394 19751192 20123856 22220091 28826064 29626788 39502384 44440182 59253576 66660273 88880364 118507152 133320546 177760728 266641092 355521456 533282184 1066564368