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1320626016 = 253253241359
BaseRepresentation
bin100111010110111…
…0010011101100000
310102000222202022200
41032231302131200
510201040013031
6335013333200
744504064423
oct11655623540
93360882280
101320626016
11618505966
1230a337200
131807aa318
14c756d9ba
157ae168e6
hex4eb72760

1320626016 has 144 divisors (see below), whose sum is σ = 3852969120. Its totient is φ = 428912640.

The previous prime is 1320626003. The next prime is 1320626023. The reversal of 1320626016 is 6106260231.

1320626016 is a `hidden beast` number, since 1 + 3 + 20 + 626 + 0 + 16 = 666.

1320626016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3678445 + ... + 3678803.

It is an arithmetic number, because the mean of its divisors is an integer number (26756730).

Almost surely, 21320626016 is an apocalyptic number.

1320626016 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 1320626016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926484560).

1320626016 is an abundant number, since it is smaller than the sum of its proper divisors (2532343104).

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

1320626016 is a wasteful number, since it uses less digits than its factorization.

1320626016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1320626016 is about 36340.4184896102. The cubic root of 1320626016 is about 1097.1346960423.

Adding to 1320626016 its reverse (6106260231), we get a palindrome (7426886247).

The spelling of 1320626016 in words is "one billion, three hundred twenty million, six hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 241 288 318 359 424 477 482 636 718 723 848 954 964 1077 1272 1436 1446 1696 1908 1928 2154 2169 2544 2872 2892 3231 3816 3856 4308 4338 5088 5744 5784 6462 7632 7712 8616 8676 11488 11568 12773 12924 15264 17232 17352 19027 23136 25546 25848 34464 34704 38054 38319 51092 51696 57081 69408 76108 76638 86519 102184 103392 114162 114957 152216 153276 171243 173038 204368 228324 229914 259557 304432 306552 342486 346076 408736 456648 459828 519114 608864 613104 684972 692152 778671 913296 919656 1038228 1226208 1369944 1384304 1557342 1826592 1839312 2076456 2739888 2768608 3114684 3678624 4152912 4585507 5479776 6229368 8305824 9171014 12458736 13756521 18342028 24917472 27513042 36684056 41269563 55026084 73368112 82539126 110052168 146736224 165078252 220104336 330156504 440208672 660313008 1320626016