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1077196068 = 22321329139571
BaseRepresentation
bin100000000110100…
…1011010100100100
32210001221020012200
41000031023110210
54201230233233
6254520014500
735460005214
oct10015132444
92701836180
101077196068
1150305a393
12260901430
13142228230
14a30c4244
156487e313
hex4034b524

1077196068 has 144 divisors (see below), whose sum is σ = 3060657600. Its totient is φ = 317157120.

The previous prime is 1077196063. The next prime is 1077196121. The reversal of 1077196068 is 8606917701.

It is not an unprimeable number, because it can be changed into a prime (1077196061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1886223 + ... + 1886793.

Almost surely, 21077196068 is an apocalyptic number.

1077196068 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 1077196068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530328800).

1077196068 is an abundant number, since it is smaller than the sum of its proper divisors (1983461532).

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

1077196068 is a wasteful number, since it uses less digits than its factorization.

1077196068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1077196068 is about 32820.6652583399. The cubic root of 1077196068 is about 1025.0968991875.

The spelling of 1077196068 in words is "one billion, seventy-seven million, one hundred ninety-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 139 156 174 234 261 278 348 377 417 468 522 556 571 754 834 1044 1131 1142 1251 1508 1668 1713 1807 2262 2284 2502 3393 3426 3614 4031 4524 5004 5139 5421 6786 6852 7228 7423 8062 10278 10842 12093 13572 14846 16124 16263 16559 20556 21684 22269 24186 29692 32526 33118 36279 44538 48372 49677 52403 65052 66236 66807 72558 79369 89076 99354 104806 133614 145116 149031 157209 158738 198708 209612 215267 238107 267228 298062 314418 317476 430534 471627 476214 596124 628836 645801 714321 861068 943254 952428 1031797 1291602 1428642 1886508 1937403 2063594 2301701 2583204 2857284 3095391 3874806 4127188 4603402 6190782 6905103 7749612 9206804 9286173 12381564 13810206 18572346 20715309 27620412 29922113 37144692 41430618 59844226 82861236 89766339 119688452 179532678 269299017 359065356 538598034 1077196068