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106431416 = 23713146197
BaseRepresentation
bin1100101100000…
…00001110111000
321102021021110022
412112000032320
5204221301131
614321110012
72431436450
oct626001670
9242237408
10106431416
1155094553
122b788308
1319085c90
14101c6d60
15952537b
hex65803b8

106431416 has 32 divisors (see below), whose sum is σ = 245612640. Its totient is φ = 42104448.

The previous prime is 106431383. The next prime is 106431467. The reversal of 106431416 is 614134601.

It is a super-2 number, since 2×1064314162 = 22655292623530112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72371 + ... + 73826.

It is an arithmetic number, because the mean of its divisors is an integer number (7675395).

Almost surely, 2106431416 is an apocalyptic number.

It is an amenable number.

106431416 is an abundant number, since it is smaller than the sum of its proper divisors (139181224).

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

106431416 is a wasteful number, since it uses less digits than its factorization.

106431416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146223 (or 146219 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 106431416 is about 10316.5602794730. The cubic root of 106431416 is about 473.9035333369.

The spelling of 106431416 in words is "one hundred six million, four hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 146197 292394 584788 1023379 1169576 1900561 2046758 3801122 4093516 7602244 8187032 13303927 15204488 26607854 53215708 106431416