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106303736 = 23721189277
BaseRepresentation
bin1100101011000…
…01000011111000
321102000210022102
412111201003320
5204203204421
614314242532
72430365300
oct625410370
9242023272
10106303736
1155007630
122b726448
131903cb26
1410192600
1594ec60b
hex65610f8

106303736 has 96 divisors (see below), whose sum is σ = 256705200. Its totient is φ = 40803840.

The previous prime is 106303721. The next prime is 106303739. The reversal of 106303736 is 637303601.

It is a super-2 number, since 2×1063037362 = 22600968575115392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106303699 and 106303708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106303739) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383630 + ... + 383906.

Almost surely, 2106303736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106303736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128352600).

106303736 is an abundant number, since it is smaller than the sum of its proper divisors (150401464).

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

106303736 is a wasteful number, since it uses less digits than its factorization.

106303736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 29.

The square root of 106303736 is about 10310.3703134272. The cubic root of 106303736 is about 473.7139520472.

The spelling of 106303736 in words is "one hundred six million, three hundred three thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 89 98 154 178 196 277 308 356 392 539 554 616 623 712 979 1078 1108 1246 1939 1958 2156 2216 2492 3047 3878 3916 4312 4361 4984 6094 6853 7756 7832 8722 12188 13573 13706 15512 17444 21329 24376 24653 27146 27412 34888 42658 47971 49306 54292 54824 85316 95942 98612 108584 149303 170632 172571 191884 197224 271183 298606 345142 383768 542366 597212 690284 1084732 1194424 1207997 1380568 1898281 2169464 2415994 3796562 4831988 7593124 9663976 13287967 15186248 26575934 53151868 106303736