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107727620 = 225711135381
BaseRepresentation
bin1100110101111…
…00101100000100
321111201010111212
412122330230010
5210034240440
614404550552
72445445460
oct632745404
9244633455
10107727620
115589a3a0
12300b2458
131941ac70
14104434a0
1596ce465
hex66bcb04

107727620 has 96 divisors (see below), whose sum is σ = 303803136. Its totient is φ = 30988800.

The previous prime is 107727593. The next prime is 107727637. The reversal of 107727620 is 26727701.

It is a happy number.

It is a super-2 number, since 2×1077276202 = 23210480221728800, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17330 + ... + 22710.

It is an arithmetic number, because the mean of its divisors is an integer number (3164616).

Almost surely, 2107727620 is an apocalyptic number.

107727620 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 107727620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151901568).

107727620 is an abundant number, since it is smaller than the sum of its proper divisors (196075516).

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

107727620 is a wasteful number, since it uses less digits than its factorization.

107727620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5421 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 107727620 is about 10379.1916833634. The cubic root of 107727620 is about 475.8196301290.

It can be divided in two parts, 107 and 727620, that added together give a palindrome (727727).

The spelling of 107727620 in words is "one hundred seven million, seven hundred twenty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 5381 10010 10762 20020 21524 26905 37667 53810 59191 69953 75334 107620 118382 139906 150668 188335 236764 279812 295955 349765 376670 414337 489671 591910 699530 753340 769483 828674 979342 1183820 1399060 1538966 1657348 1958684 2071685 2448355 3077932 3847415 4143370 4896710 5386381 7694830 8286740 9793420 10772762 15389660 21545524 26931905 53863810 107727620