Search a number
-
+
1240776966 = 23111361151157
BaseRepresentation
bin100100111110100…
…1100000100000110
310012110202000000110
41021331030010012
510020114330331
6323042053450
742514300362
oct11175140406
93173660013
101240776966
11587428110
122a764a286
1316a0a0870
14bab062a2
1573de2946
hex49f4c106

1240776966 has 128 divisors (see below), whose sum is σ = 3001807872. Its totient is φ = 336960000.

The previous prime is 1240776937. The next prime is 1240776983. The reversal of 1240776966 is 6696770421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7902960 + ... + 7903116.

It is an arithmetic number, because the mean of its divisors is an integer number (23451624).

Almost surely, 21240776966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240776966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500903936).

1240776966 is an abundant number, since it is smaller than the sum of its proper divisors (1761030906).

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

1240776966 is a wasteful number, since it uses less digits than its factorization.

1240776966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398.

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 1240776966 is about 35224.6641715716. The cubic root of 1240776966 is about 1074.5614121437.

The spelling of 1240776966 in words is "one billion, two hundred forty million, seven hundred seventy-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 61 66 78 122 143 151 157 183 286 302 314 366 429 453 471 671 793 858 906 942 1342 1586 1661 1727 1963 2013 2041 2379 3322 3454 3926 4026 4082 4758 4983 5181 5889 6123 8723 9211 9577 9966 10362 11778 12246 17446 18422 19154 21593 22451 23707 26169 27633 28731 43186 44902 47414 52338 55266 57462 64779 67353 71121 101321 105347 119743 124501 129558 134706 142242 202642 210694 239486 249002 260777 303963 308191 316041 359229 373503 521554 607926 616382 632082 718458 747006 782331 924573 1317173 1369511 1446127 1564662 1849146 2634346 2739022 2892254 3390101 3951519 4108533 4338381 6780202 7903038 8217066 8676762 10170303 15907397 18799651 20340606 31814794 37599302 47722191 56398953 95444382 112797906 206796161 413592322 620388483 1240776966