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1054367676 = 223217612463
BaseRepresentation
bin111110110110000…
…101111110111100
32201110222102112200
4332312011332330
54124404231201
6252342431500
735061656145
oct7666057674
92643872480
101054367676
114a118804a
12255132590
1313a5945cb
14a0060acc
1562870386
hex3ed85fbc

1054367676 has 108 divisors (see below), whose sum is σ = 2875201056. Its totient is φ = 324656640.

The previous prime is 1054367669. The next prime is 1054367687. The reversal of 1054367676 is 6767634501.

It is a super-2 number, since 2×10543676762 = 2223382392387281952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2277021 + ... + 2277483.

It is an arithmetic number, because the mean of its divisors is an integer number (26622232).

Almost surely, 21054367676 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 1054367676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437600528).

1054367676 is an abundant number, since it is smaller than the sum of its proper divisors (1820833380).

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

1054367676 is a wasteful number, since it uses less digits than its factorization.

1054367676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 1054367676 is about 32471.0282559700. The cubic root of 1054367676 is about 1017.8037056405.

The spelling of 1054367676 in words is "one billion, fifty-four million, three hundred sixty-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 463 549 612 732 926 1037 1098 1389 1852 2074 2196 2778 3111 3721 4148 4167 5556 6222 7442 7871 8334 9333 11163 12444 14884 15742 16668 18666 22326 23613 28243 31484 33489 37332 44652 47226 56486 63257 66978 70839 84729 94452 112972 126514 133956 141678 169458 189771 253028 254187 283356 338916 379542 480131 508374 569313 759084 960262 1016748 1138626 1440393 1722823 1920524 2277252 2880786 3445646 4321179 5168469 5761572 6891292 8642358 10336938 15505407 17284716 20673876 29287991 31010814 58575982 62021628 87863973 117151964 175727946 263591919 351455892 527183838 1054367676