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9997416 = 23321113971
BaseRepresentation
bin100110001000…
…110001101000
3200210220212200
4212020301220
510024404131
6554140200
7150655662
oct46106150
920726780
109997416
115709230
123421660
1320c0640
141483532
15d272e6
hex988c68

9997416 has 96 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 2793600.

The previous prime is 9997397. The next prime is 9997441. The reversal of 9997416 is 6147999.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9811 + ... + 10781.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 29997416 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 9997416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

9997416 is an abundant number, since it is smaller than the sum of its proper divisors (21845304).

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

9997416 is a wasteful number, since it uses less digits than its factorization.

With its successor (9997417) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1007).

9997416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 9997416 is about 3161.8690674979. The cubic root of 9997416 is about 215.4249105405.

The spelling of 9997416 in words is "nine million, nine hundred ninety-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 971 1144 1287 1716 1942 2574 2913 3432 3884 5148 5826 7768 8739 10296 10681 11652 12623 17478 21362 23304 25246 32043 34956 37869 42724 50492 64086 69912 75738 85448 96129 100984 113607 128172 138853 151476 192258 227214 256344 277706 302952 384516 416559 454428 555412 769032 833118 908856 1110824 1249677 1666236 2499354 3332472 4998708 9997416