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1284920714 = 2711192361313
BaseRepresentation
bin100110010010110…
…0101010110001010
310022112210201212002
41030211211112022
510112414430324
6331300151002
743561434350
oct11445452612
93275721762
101284920714
115aa338a50
122ba398462
1317628851c
14c29177d0
1577c123ae
hex4c96558a

1284920714 has 128 divisors (see below), whose sum is σ = 2691256320. Its totient is φ = 444787200.

The previous prime is 1284920621. The next prime is 1284920717. The reversal of 1284920714 is 4170294821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (1284920717) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4105022 + ... + 4105334.

It is an arithmetic number, because the mean of its divisors is an integer number (21025440).

Almost surely, 21284920714 is an apocalyptic number.

1284920714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1284920714 is an abundant number, since it is smaller than the sum of its proper divisors (1406335606).

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

1284920714 is a wasteful number, since it uses less digits than its factorization.

1284920714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436.

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 1284920714 is about 35845.7907431263. The cubic root of 1284920714 is about 1087.1566084351.

The spelling of 1284920714 in words is "one billion, two hundred eighty-four million, nine hundred twenty thousand, seven hundred fourteen".

Divisors: 1 2 7 11 14 19 22 23 38 46 61 77 122 133 154 161 209 253 266 313 322 418 427 437 506 626 671 854 874 1159 1342 1403 1463 1771 2191 2318 2806 2926 3059 3443 3542 4382 4697 4807 5947 6118 6886 7199 8113 9394 9614 9821 11894 12749 14398 15433 16226 19093 19642 24101 25498 26657 30866 33649 38186 41629 48202 50393 53314 65417 67298 79189 83258 89243 100786 108031 130834 133651 136781 158378 178486 186599 210023 216062 267302 273562 293227 362767 373198 420046 439139 457919 554323 586454 725534 878278 915838 957467 1108646 1470161 1504591 1914934 2052589 2539369 2940322 3009182 3073973 3990437 4105178 4830529 5078738 6147946 7980874 8343641 9661058 10532137 16687282 21064274 27933059 33813703 55866118 58405487 67627406 91780051 116810974 183560102 642460357 1284920714