Search a number
-
+
9965060 = 2257175379
BaseRepresentation
bin100110000000…
…111000000100
3200202021111022
4212000320010
510022340220
6553330312
7150462440
oct46007004
920667438
109965060
115696996
123406998
1320ab9b1
141475820
15d1c925
hex980e04

9965060 has 96 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 3115008.

The previous prime is 9965051. The next prime is 9965071. The reversal of 9965060 is 605699.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 9965060.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126101 + ... + 126179.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 29965060 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 9965060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

9965060 is an abundant number, since it is smaller than the sum of its proper divisors (16162300).

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

9965060 is a wasteful number, since it uses less digits than its factorization.

9965060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 9965060 is about 3156.7483269973. The cubic root of 9965060 is about 215.1922563697.

The spelling of 9965060 in words is "nine million, nine hundred sixty-five thousand, sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 53 68 70 79 85 106 119 140 158 170 212 238 265 316 340 371 395 476 530 553 595 742 790 901 1060 1106 1190 1343 1484 1580 1802 1855 2212 2380 2686 2765 3604 3710 4187 4505 5372 5530 6307 6715 7420 8374 9010 9401 11060 12614 13430 16748 18020 18802 20935 25228 26860 29309 31535 37604 41870 47005 58618 63070 71179 83740 94010 117236 126140 142358 146545 188020 284716 293090 355895 498253 586180 711790 996506 1423580 1993012 2491265 4982530 9965060