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1082252016 = 24351731609
BaseRepresentation
bin100000010000001…
…1101101011110000
32210102110002200000
41000200131223300
54204024031031
6255220230000
735550663456
oct10040355360
92712402600
101082252016
115059a2a5a
1226253b300
131432a8611
14a3a3c9d6
156502c3e6
hex4081daf0

1082252016 has 120 divisors (see below), whose sum is σ = 3161099760. Its totient is φ = 358442496.

The previous prime is 1082252009. The next prime is 1082252021. The reversal of 1082252016 is 6102522801.

It is a happy number.

1082252016 is a `hidden beast` number, since 108 + 22 + 520 + 16 = 666.

It is a super-2 number, since 2×10822520162 = 2342538852272128512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 671820 + ... + 673428.

It is an arithmetic number, because the mean of its divisors is an integer number (26342498).

Almost surely, 21082252016 is an apocalyptic number.

1082252016 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 1082252016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580549880).

1082252016 is an abundant number, since it is smaller than the sum of its proper divisors (2078847744).

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

1082252016 is a wasteful number, since it uses less digits than its factorization.

1082252016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1082252016 is about 32897.5989397403. The cubic root of 1082252016 is about 1026.6982012765.

Adding to 1082252016 its reverse (6102522801), we get a palindrome (7184774817).

The spelling of 1082252016 in words is "one billion, eighty-two million, two hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 216 243 324 346 432 486 519 648 692 972 1038 1296 1384 1557 1609 1944 2076 2768 3114 3218 3888 4152 4671 4827 6228 6436 8304 9342 9654 12456 12872 14013 14481 18684 19308 24912 25744 28026 28962 37368 38616 42039 43443 56052 57924 74736 77232 84078 86886 112104 115848 130329 168156 173772 224208 231696 260658 278357 336312 347544 390987 521316 556714 672624 695088 781974 835071 1042632 1113428 1563948 1670142 2085264 2226856 2505213 3127896 3340284 4453712 5010426 6255792 6680568 7515639 10020852 13361136 15031278 20041704 22546917 30062556 40083408 45093834 60125112 67640751 90187668 120250224 135281502 180375336 270563004 360750672 541126008 1082252016