Search a number
-
+
1068339216 = 243710131481
BaseRepresentation
bin111111101011011…
…001000000010000
32202110021020220010
4333223121000100
54141443323331
6254002114520
735321506410
oct7753310020
92673236803
101068339216
114a906007a
1225994ba40
13140446aa9
14a1c5a640
1563bcee46
hex3fad9010

1068339216 has 80 divisors (see below), whose sum is σ = 3185474688. Its totient is φ = 302208000.

The previous prime is 1068339169. The next prime is 1068339227. The reversal of 1068339216 is 6129338601.

It is a super-2 number, since 2×10683392162 = 2282697360886989312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18196 + ... + 49676.

Almost surely, 21068339216 is an apocalyptic number.

1068339216 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 1068339216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592737344).

1068339216 is an abundant number, since it is smaller than the sum of its proper divisors (2117135472).

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

1068339216 is a wasteful number, since it uses less digits than its factorization.

1068339216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31600 (or 31594 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1068339216 is about 32685.4587852152. The cubic root of 1068339216 is about 1022.2796686122.

The spelling of 1068339216 in words is "one billion, sixty-eight million, three hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 4242 4848 5656 8484 11312 16968 31481 33936 62962 94443 125924 188886 220367 251848 377772 440734 503696 661101 755544 881468 1322202 1511088 1762936 2644404 3179581 3525872 5288808 6359162 9538743 10577616 12718324 19077486 22257067 25436648 38154972 44514134 50873296 66771201 76309944 89028268 133542402 152619888 178056536 267084804 356113072 534169608 1068339216