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9997104 = 2431337433
BaseRepresentation
bin100110001000…
…101100110000
3200210220110010
4212020230300
510024401404
6554134520
7150655035
oct46105460
920726403
109997104
115708a77
123421440
1320c0460
14148338c
15d27189
hex988b30

9997104 has 80 divisors (see below), whose sum is σ = 28630112. Its totient is φ = 2985984.

The previous prime is 9997093. The next prime is 9997109. The reversal of 9997104 is 4017999.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22872 + ... + 23304.

Almost surely, 29997104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9997104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315056).

9997104 is an abundant number, since it is smaller than the sum of its proper divisors (18633008).

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

9997104 is a wasteful number, since it uses less digits than its factorization.

9997104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 9997104 is about 3161.8197292066. The cubic root of 9997104 is about 215.4226695190.

It can be divided in two parts, 9997 and 104, that added together give a palindrome (10101).

The spelling of 9997104 in words is "nine million, nine hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 433 444 481 592 624 866 888 962 1299 1443 1732 1776 1924 2598 2886 3464 3848 5196 5629 5772 6928 7696 10392 11258 11544 16021 16887 20784 22516 23088 32042 33774 45032 48063 64084 67548 90064 96126 128168 135096 192252 208273 256336 270192 384504 416546 624819 769008 833092 1249638 1666184 2499276 3332368 4998552 9997104