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9913410 = 23251337229
BaseRepresentation
bin100101110100…
…010001000010
3200122122122100
4211310101002
510014212120
6552251230
7150156033
oct45642102
920578570
109913410
115661101
1233a0b16
132091330
141460a8a
15d0c490
hex974442

9913410 has 96 divisors (see below), whose sum is σ = 28632240. Its totient is φ = 2363904.

The previous prime is 9913403. The next prime is 9913411. The reversal of 9913410 is 143199.

It can be written as a sum of positive squares in 8 ways, for example, as 7080921 + 2832489 = 2661^2 + 1683^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9913411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43176 + ... + 43404.

Almost surely, 29913410 is an apocalyptic number.

9913410 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9913410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316120).

9913410 is an abundant number, since it is smaller than the sum of its proper divisors (18718830).

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

9913410 is a wasteful number, since it uses less digits than its factorization.

9913410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9913410 is about 3148.5568122554. The cubic root of 9913410 is about 214.8198238105.

The spelling of 9913410 in words is "nine million, nine hundred thirteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 37 39 45 65 74 78 90 111 117 130 185 195 222 229 234 333 370 390 458 481 555 585 666 687 962 1110 1145 1170 1374 1443 1665 2061 2290 2405 2886 2977 3330 3435 4122 4329 4810 5954 6870 7215 8473 8658 8931 10305 14430 14885 16946 17862 20610 21645 25419 26793 29770 42365 43290 44655 50838 53586 76257 84730 89310 110149 127095 133965 152514 220298 254190 267930 330447 381285 550745 660894 762570 991341 1101490 1652235 1982682 3304470 4956705 9913410