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106424304 = 24371132803
BaseRepresentation
bin1100101011111…
…10011111110000
321102020220200220
412111332133300
5204221034204
614321013040
72431406640
oct625763760
9242226626
10106424304
115508a178
122b784180
131908297c
14101c4520
1595231d9
hex657e7f0

106424304 has 80 divisors (see below), whose sum is σ = 317098752. Its totient is φ = 30127104.

The previous prime is 106424303. The next prime is 106424323. The reversal of 106424304 is 403424601.

It is a super-2 number, since 2×1064243042 = 22652264963768832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106424303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36567 + ... + 39369.

Almost surely, 2106424304 is an apocalyptic number.

106424304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106424304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158549376).

106424304 is an abundant number, since it is smaller than the sum of its proper divisors (210674448).

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

106424304 is a wasteful number, since it uses less digits than its factorization.

106424304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 106424304 is about 10316.2155851843. The cubic root of 106424304 is about 473.8929773153.

Adding to 106424304 its reverse (403424601), we get a palindrome (509848905).

The spelling of 106424304 in words is "one hundred six million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1582 1808 2373 2712 2803 3164 4746 5424 5606 6328 8409 9492 11212 12656 16818 18984 19621 22424 33636 37968 39242 44848 58863 67272 78484 117726 134544 156968 235452 313936 316739 470904 633478 941808 950217 1266956 1900434 2217173 2533912 3800868 4434346 5067824 6651519 7601736 8868692 13303038 15203472 17737384 26606076 35474768 53212152 106424304