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1076666661 = 387217197
BaseRepresentation
bin100000000101100…
…1010000100100101
32210000221100000000
41000023022010211
54201111313121
6254500411513
735452341600
oct10013120445
92700840000
101076666661
11502828664
122606a6b99
131420a1285
14a2dc7337
15647c7526
hex402ca125

1076666661 has 108 divisors (see below), whose sum is σ = 1999179468. Its totient is φ = 576108288.

The previous prime is 1076666659. The next prime is 1076666681. The reversal of 1076666661 is 1666666701.

It can be written as a sum of positive squares in 2 ways, for example, as 972504225 + 104162436 = 31185^2 + 10206^2 .

It is not a de Polignac number, because 1076666661 - 21 = 1076666659 is a prime.

It is a super-3 number, since 3×10766666613 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076666641) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5465215 + ... + 5465411.

It is an arithmetic number, because the mean of its divisors is an integer number (18510921).

Almost surely, 21076666661 is an apocalyptic number.

It is an amenable number.

1076666661 is a deficient number, since it is larger than the sum of its proper divisors (922512807).

1076666661 is an frugal number, since it uses more digits than its factorization.

1076666661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1076666661 is about 32812.5991198503. The cubic root of 1076666661 is about 1024.9289376870.

The spelling of 1076666661 in words is "one billion, seventy-six million, six hundred sixty-six thousand, six hundred sixty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 189 197 243 357 441 459 567 591 729 833 1071 1323 1377 1379 1701 1773 2187 2499 3213 3349 3969 4131 4137 5103 5319 6561 7497 9639 9653 10047 11907 12393 12411 15309 15957 22491 23443 28917 28959 30141 35721 37179 37233 45927 47871 67473 70329 86751 86877 90423 107163 111537 111699 143613 164101 202419 210987 260253 260631 271269 321489 335097 430839 492303 607257 632961 780759 781893 813807 1005291 1292517 1476909 1821771 1898883 2345679 2441421 3015873 4430727 5465313 5696649 7037037 7324263 9047619 13292181 17089947 21111111 21972789 39876543 51269841 63333333 119629629 153809523 358888887 1076666661