[go: up one dir, main page]

Search a number
-
+
9994880 = 27572397
BaseRepresentation
bin100110001000…
…001010000000
3200210210101202
4212020022000
510024314010
6554120332
7150645410
oct46101200
920723352
109994880
115707335
1234200a8
1320bc43c
141482640
15d266a5
hex988280

9994880 has 128 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 3244032.

The previous prime is 9994871. The next prime is 9994913. The reversal of 9994880 is 884999.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102992 + ... + 103088.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 29994880 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 9994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

9994880 is an abundant number, since it is smaller than the sum of its proper divisors (18793600).

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

9994880 is a wasteful number, since it uses less digits than its factorization.

9994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 9994880 is about 3161.4680134393. The cubic root of 9994880 is about 215.4066937074.

The spelling of 9994880 in words is "nine million, nine hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 97 112 115 128 140 160 161 184 194 224 230 280 320 322 368 388 448 460 485 560 640 644 679 736 776 805 896 920 970 1120 1288 1358 1472 1552 1610 1840 1940 2231 2240 2576 2716 2944 3104 3220 3395 3680 3880 4462 4480 5152 5432 6208 6440 6790 7360 7760 8924 10304 10864 11155 12416 12880 13580 14720 15520 15617 17848 20608 21728 22310 25760 27160 31040 31234 35696 43456 44620 51520 54320 62080 62468 71392 78085 86912 89240 103040 108640 124936 142784 156170 178480 217280 249872 285568 312340 356960 434560 499744 624680 713920 999488 1249360 1427840 1998976 2498720 4997440 9994880