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107444928 = 2634113649
BaseRepresentation
bin1100110011101…
…11101011000000
321111011202201210
412121313223000
5210001214203
614354530120
72443160343
oct631675300
9244152653
10107444928
1155716a68
122bb96940
131934c3a6
14103ac45a
159675803
hex6677ac0

107444928 has 56 divisors (see below), whose sum is σ = 291236400. Its totient is φ = 34938880.

The previous prime is 107444927. The next prime is 107444933. The reversal of 107444928 is 829444701.

It is not an unprimeable number, because it can be changed into a prime (107444923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1048 + ... + 14696.

It is an arithmetic number, because the mean of its divisors is an integer number (5200650).

Almost surely, 2107444928 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 107444928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145618200).

107444928 is an abundant number, since it is smaller than the sum of its proper divisors (183791472).

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

107444928 is a wasteful number, since it uses less digits than its factorization.

107444928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13705 (or 13695 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 107444928 is about 10365.5645287654. The cubic root of 107444928 is about 475.4030602880.

The spelling of 107444928 in words is "one hundred seven million, four hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 13649 27298 40947 54596 81894 109192 163788 218384 327576 436768 559609 655152 873536 1119218 1310304 1678827 2238436 2620608 3357654 4476872 6715308 8953744 13430616 17907488 26861232 35814976 53722464 107444928