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1066645404 = 22321129293317
BaseRepresentation
bin111111100100111…
…011011110011100
32202100002012102100
4333210323132130
54141030123104
6253501525100
735301223236
oct7744733634
92670065370
101066645404
114a8103530
12259273790
1313cca2b36
14a1939256
1563998139
hex3f93b79c

1066645404 has 144 divisors (see below), whose sum is σ = 3062797920. Its totient is φ = 310033920.

The previous prime is 1066645403. The next prime is 1066645409. The reversal of 1066645404 is 4045466601.

It is a super-2 number, since 2×10666454042 = 2275464835748646432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066645403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3364654 + ... + 3364970.

It is an arithmetic number, because the mean of its divisors is an integer number (21269430).

Almost surely, 21066645404 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 1066645404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531398960).

1066645404 is an abundant number, since it is smaller than the sum of its proper divisors (1996152516).

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

1066645404 is a wasteful number, since it uses less digits than its factorization.

1066645404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1066645404 is about 32659.5377187124. The cubic root of 1066645404 is about 1021.7391207371.

The spelling of 1066645404 in words is "one billion, sixty-six million, six hundred forty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 293 317 319 348 396 522 586 634 638 879 951 957 1044 1172 1268 1276 1758 1902 1914 2637 2853 2871 3223 3487 3516 3804 3828 5274 5706 5742 6446 6974 8497 9193 9669 10461 10548 11412 11484 12892 13948 16994 18386 19338 20922 25491 27579 29007 31383 33988 36772 38676 41844 50982 55158 58014 62766 76473 82737 92881 93467 101123 101964 110316 116028 125532 152946 165474 185762 186934 202246 278643 280401 303369 305892 330948 371524 373868 404492 557286 560802 606738 835929 841203 910107 1021691 1114572 1121604 1213476 1671858 1682406 1820214 2043382 2693549 3065073 3343716 3364812 3640428 4086764 5387098 6130146 8080647 9195219 10774196 12260292 16161294 18390438 24241941 29629039 32322588 36780876 48483882 59258078 88887117 96967764 118516156 177774234 266661351 355548468 533322702 1066645404