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106614424 = 2374740507
BaseRepresentation
bin1100101101011…
…00111010011000
321102121120111101
412112230322120
5204243130144
614325041144
72433131140
oct626547230
9242546441
10106614424
11551a9aa4
122b8561b4
131911b377
1410233920
15955e6d4
hex65ace98

106614424 has 32 divisors (see below), whose sum is σ = 233326080. Its totient is φ = 44718624.

The previous prime is 106614421. The next prime is 106614433. The reversal of 106614424 is 424416601.

It is a super-2 number, since 2×1066144242 = 22733270809703552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 106614392 and 106614401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106614421) 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, 17622 + ... + 22885.

It is an arithmetic number, because the mean of its divisors is an integer number (7291440).

Almost surely, 2106614424 is an apocalyptic number.

106614424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106614424 is an abundant number, since it is smaller than the sum of its proper divisors (126711656).

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

106614424 is a wasteful number, since it uses less digits than its factorization.

106614424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40567 (or 40563 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 106614424 is about 10325.4260929029. The cubic root of 106614424 is about 474.1750022918.

The spelling of 106614424 in words is "one hundred six million, six hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 1316 2632 40507 81014 162028 283549 324056 567098 1134196 1903829 2268392 3807658 7615316 13326803 15230632 26653606 53307212 106614424