Search a number
-
+
1056688620 = 2235132714999
BaseRepresentation
bin111110111110111…
…100100111101100
32201122100100021120
4332332330213230
54131003013440
6252504300540
735120463561
oct7676744754
92648310246
101056688620
114a2522889
12255a71750
1313abc7b50
14a04a6868
1562b7cdd0
hex3efbc9ec

1056688620 has 96 divisors (see below), whose sum is σ = 3198720000. Its totient is φ = 259096320.

The previous prime is 1056688597. The next prime is 1056688627. The reversal of 1056688620 is 268866501.

It is a super-2 number, since 2×10566886202 = 2233181679275008800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056688627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208881 + ... + 213879.

It is an arithmetic number, because the mean of its divisors is an integer number (33320000).

Almost surely, 21056688620 is an apocalyptic number.

1056688620 is a gapful number since it is divisible by the number (10) 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 1056688620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599360000).

1056688620 is an abundant number, since it is smaller than the sum of its proper divisors (2142031380).

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

1056688620 is a wasteful number, since it uses less digits than its factorization.

1056688620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1056688620 is about 32506.7472995992. The cubic root of 1056688620 is about 1018.5499773156.

The spelling of 1056688620 in words is "one billion, fifty-six million, six hundred eighty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 271 390 542 780 813 1084 1355 1626 2710 3252 3523 4065 4999 5420 7046 8130 9998 10569 14092 14997 16260 17615 19996 21138 24995 29994 35230 42276 49990 52845 59988 64987 70460 74985 99980 105690 129974 149970 194961 211380 259948 299940 324935 389922 649870 779844 974805 1299740 1354729 1949610 2709458 3899220 4064187 5418916 6773645 8128374 13547290 16256748 17611477 20320935 27094580 35222954 40641870 52834431 70445908 81283740 88057385 105668862 176114770 211337724 264172155 352229540 528344310 1056688620