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104087430 = 2345177559
BaseRepresentation
bin1100011010000…
…11111110000110
321020212012010000
412031003332012
5203121244210
614154542130
72402504616
oct615037606
9236765100
10104087430
1153833477
122aa37946
13187450c5
14db76a46
159210ac0
hex6343f86

104087430 has 80 divisors (see below), whose sum is σ = 296382240. Its totient is φ = 26120448.

The previous prime is 104087393. The next prime is 104087437. The reversal of 104087430 is 34780401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104087394 and 104087403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104087437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9991 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (3704778).

Almost surely, 2104087430 is an apocalyptic number.

104087430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104087430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148191120).

104087430 is an abundant number, since it is smaller than the sum of its proper divisors (192294810).

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

104087430 is a wasteful number, since it uses less digits than its factorization.

104087430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7595 (or 7586 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 104087430 is about 10202.3247350788. The cubic root of 104087430 is about 470.3986808845.

The spelling of 104087430 in words is "one hundred four million, eighty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 7559 13770 15118 22677 37795 45354 68031 75590 113385 128503 136062 204093 226770 257006 340155 385509 408186 612279 642515 680310 771018 1020465 1156527 1224558 1285030 1927545 2040930 2313054 3061395 3469581 3855090 5782635 6122790 6939162 10408743 11565270 17347905 20817486 34695810 52043715 104087430