Search a number
-
+
1396766976 = 283111011637
BaseRepresentation
bin101001101000000…
…1111100100000000
310121100021010002020
41103100033210000
510330033020401
6350333321440
746420215633
oct12320174400
93540233066
101396766976
11657490780
1232b936280
131934b9047
14d370dc1a
1582956d36
hex5340f900

1396766976 has 144 divisors (see below), whose sum is σ = 4098040128. Its totient is φ = 418816000.

The previous prime is 1396766953. The next prime is 1396766989. The reversal of 1396766976 is 6796676931.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 852430 + ... + 854066.

It is an arithmetic number, because the mean of its divisors is an integer number (28458612).

Almost surely, 21396766976 is an apocalyptic number.

1396766976 is a gapful number since it is divisible by the number (16) 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 1396766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049020064).

1396766976 is an abundant number, since it is smaller than the sum of its proper divisors (2701273152).

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

1396766976 is a wasteful number, since it uses less digits than its factorization.

1396766976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1754 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 60.

The square root of 1396766976 is about 37373.3457961687. The cubic root of 1396766976 is about 1117.8271478359.

The spelling of 1396766976 in words is "one billion, three hundred ninety-six million, seven hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 128 132 176 192 202 256 264 303 352 384 404 528 606 704 768 808 1056 1111 1212 1408 1616 1637 2112 2222 2424 2816 3232 3274 3333 4224 4444 4848 4911 6464 6548 6666 8448 8888 9696 9822 12928 13096 13332 17776 18007 19392 19644 25856 26192 26664 35552 36014 38784 39288 52384 53328 54021 71104 72028 77568 78576 104768 106656 108042 142208 144056 157152 165337 209536 213312 216084 284416 288112 314304 330674 419072 426624 432168 496011 576224 628608 661348 853248 864336 992022 1152448 1257216 1322696 1728672 1818707 1984044 2304896 2645392 3457344 3637414 3968088 4609792 5290784 5456121 6914688 7274828 7936176 10581568 10912242 13829376 14549656 15872352 21163136 21824484 29099312 31744704 42326272 43648968 58198624 63489408 87297936 116397248 126978816 174595872 232794496 349191744 465588992 698383488 1396766976