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102122440 = 23571033541
BaseRepresentation
bin1100001011001…
…00001111001000
321010011100122121
412011210033020
5202120404230
614044501024
72350012030
oct605441710
9233140577
10102122440
1152711112
122a24a774
13182078a4
14d7c48c0
158e7377a
hex61643c8

102122440 has 64 divisors (see below), whose sum is σ = 265224960. Its totient is φ = 34663680.

The previous prime is 102122429. The next prime is 102122441. The reversal of 102122440 is 44221201.

It is not an unprimeable number, because it can be changed into a prime (102122441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27070 + ... + 30610.

It is an arithmetic number, because the mean of its divisors is an integer number (4144140).

Almost surely, 2102122440 is an apocalyptic number.

102122440 is a gapful number since it is divisible by the number (10) 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 102122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132612480).

102122440 is an abundant number, since it is smaller than the sum of its proper divisors (163102520).

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

102122440 is a wasteful number, since it uses less digits than its factorization.

102122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 102122440 is about 10105.5648036119. The cubic root of 102122440 is about 467.4197523046.

Adding to 102122440 its reverse (44221201), we get a palindrome (146343641).

The spelling of 102122440 in words is "one hundred two million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 515 721 824 1030 1442 2060 2884 3541 3605 4120 5768 7082 7210 14164 14420 17705 24787 28328 28840 35410 49574 70820 99148 123935 141640 198296 247870 364723 495740 729446 991480 1458892 1823615 2553061 2917784 3647230 5106122 7294460 10212244 12765305 14588920 20424488 25530610 51061220 102122440