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107446368 = 2531958907
BaseRepresentation
bin1100110011110…
…00000001100000
321111011211201010
412121320001200
5210001240433
614354540520
72443164501
oct631700140
9244154633
10107446368
1155718057
122bb97740
131934cc43
14103acba8
159675e63
hex6678060

107446368 has 48 divisors (see below), whose sum is σ = 296896320. Its totient is φ = 33929856.

The previous prime is 107446301. The next prime is 107446369. The reversal of 107446368 is 863644701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107446369) 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, 27630 + ... + 31277.

It is an arithmetic number, because the mean of its divisors is an integer number (6185340).

Almost surely, 2107446368 is an apocalyptic number.

It is an amenable number.

107446368 is an abundant number, since it is smaller than the sum of its proper divisors (189449952).

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

107446368 is a wasteful number, since it uses less digits than its factorization.

107446368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58939 (or 58931 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 107446368 is about 10365.6339892937. The cubic root of 107446368 is about 475.4051840965.

The spelling of 107446368 in words is "one hundred seven million, four hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 58907 117814 176721 235628 353442 471256 706884 942512 1119233 1413768 1885024 2238466 2827536 3357699 4476932 5655072 6715398 8953864 13430796 17907728 26861592 35815456 53723184 107446368