Search a number
-
+
9989460 = 22335131423
BaseRepresentation
bin100110000110…
…110101010100
3200210111222000
4212012311110
510024130320
6554035300
7150623535
oct46066524
920714860
109989460
115703258
123418b30
1320b9b30
14148068c
15d24c90
hex986d54

9989460 has 96 divisors (see below), whose sum is σ = 33492480. Its totient is φ = 2457216.

The previous prime is 9989437. The next prime is 9989477. The reversal of 9989460 is 649899.

It is a super-2 number, since 2×99894602 = 199578622183200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6309 + ... + 7731.

It is an arithmetic number, because the mean of its divisors is an integer number (348880).

Almost surely, 29989460 is an apocalyptic number.

9989460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9989460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746240).

9989460 is an abundant number, since it is smaller than the sum of its proper divisors (23503020).

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

9989460 is a wasteful number, since it uses less digits than its factorization.

9989460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9989460 is about 3160.6107004818. The cubic root of 9989460 is about 215.3677499222.

The spelling of 9989460 in words is "nine million, nine hundred eighty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1423 1755 2340 2846 3510 4269 5692 7020 7115 8538 12807 14230 17076 18499 21345 25614 28460 36998 38421 42690 51228 55497 64035 73996 76842 85380 92495 110994 128070 153684 166491 184990 192105 221988 256140 277485 332982 369980 384210 499473 554970 665964 768420 832455 998946 1109940 1664910 1997892 2497365 3329820 4994730 9989460