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107041396 = 227112271531
BaseRepresentation
bin1100110000101…
…01001001110100
321110102021012011
412120111021310
5204400311041
614342134004
72436560020
oct630251164
9243367164
10107041396
1155470870
122ba21304
131923a807
1410305380
1595e5e81
hex6615274

107041396 has 48 divisors (see below), whose sum is σ = 234726912. Its totient is φ = 41493600.

The previous prime is 107041393. The next prime is 107041453. The reversal of 107041396 is 693140701.

It is a happy number.

It is a super-2 number, since 2×1070413962 = 22915720915257632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107041391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69151 + ... + 70681.

It is an arithmetic number, because the mean of its divisors is an integer number (4890144).

Almost surely, 2107041396 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 107041396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117363456).

107041396 is an abundant number, since it is smaller than the sum of its proper divisors (127685516).

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

107041396 is a wasteful number, since it uses less digits than its factorization.

107041396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 107041396 is about 10346.0811904798. The cubic root of 107041396 is about 474.8071549585.

It can be divided in two parts, 10704 and 1396, that added together give a square (12100 = 1102).

The spelling of 107041396 in words is "one hundred seven million, forty-one thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 227 308 454 908 1531 1589 2497 3062 3178 4994 6124 6356 9988 10717 16841 17479 21434 33682 34958 42868 67364 69916 117887 235774 347537 471548 695074 1390148 2432759 3822907 4865518 7645814 9731036 15291628 26760349 53520698 107041396