Search a number
-
+
1071907616 = 25135361797
BaseRepresentation
bin111111111001000…
…000001100100000
32202200222112211002
4333321000030200
54143402020431
6254210411132
735364031043
oct7771001440
92680875732
101071907616
1150007806a
1225ab90aa8
131410c6080
14a2508c5a
15641873cb
hex3fe40320

1071907616 has 96 divisors (see below), whose sum is σ = 2356442928. Its totient is φ = 476835840.

The previous prime is 1071907597. The next prime is 1071907619. The reversal of 1071907616 is 6167091701.

It can be written as a sum of positive squares in 8 ways, for example, as 158659216 + 913248400 = 12596^2 + 30220^2 .

It is a super-2 number, since 2×10719076162 = 2297971874477606912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1071907616.

It is not an unprimeable number, because it can be changed into a prime (1071907619) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1344530 + ... + 1345326.

Almost surely, 21071907616 is an apocalyptic number.

1071907616 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 1071907616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178221464).

1071907616 is an abundant number, since it is smaller than the sum of its proper divisors (1284535312).

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

1071907616 is a wasteful number, since it uses less digits than its factorization.

1071907616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 38.

The square root of 1071907616 is about 32740.0002443494. Note that the first 3 decimals coincide. The cubic root of 1071907616 is about 1023.4165886515.

It can be divided in two parts, 10719076 and 16, that multiplied together give a square (171505216 = 130962).

The spelling of 1071907616 in words is "one billion, seventy-one million, nine hundred seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 53 61 104 106 122 208 212 244 416 424 488 689 793 797 848 976 1378 1586 1594 1696 1952 2756 3172 3188 3233 5512 6344 6376 6466 10361 11024 12688 12752 12932 20722 22048 25376 25504 25864 41444 42029 42241 48617 51728 82888 84058 84482 97234 103456 165776 168116 168964 194468 331552 336232 337928 388936 549133 632021 672464 675856 777872 1098266 1264042 1344928 1351712 1555744 2196532 2528084 2576701 4393064 5056168 5153402 8786128 10112336 10306804 17572256 20224672 20613608 33497113 41227216 66994226 82454432 133988452 267976904 535953808 1071907616