Search a number
-
+
9940620 = 2235292197
BaseRepresentation
bin100101111010…
…111010001100
3200201000222010
4211322322030
510021044440
6553021220
7150331254
oct45727214
920630863
109940620
11567a598
1233b4810
1320a0831
14146a964
15d15580
hex97ae8c

9940620 has 72 divisors (see below), whose sum is σ = 28972944. Its totient is φ = 2546432.

The previous prime is 9940613. The next prime is 9940643. The reversal of 9940620 is 260499.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50362 + ... + 50558.

It is an arithmetic number, because the mean of its divisors is an integer number (402402).

Almost surely, 29940620 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 9940620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14486472).

9940620 is an abundant number, since it is smaller than the sum of its proper divisors (19032324).

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

9940620 is a wasteful number, since it uses less digits than its factorization.

9940620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 9940620 is about 3152.8748785830. The cubic root of 9940620 is about 215.0161877121.

The spelling of 9940620 in words is "nine million, nine hundred forty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 197 290 348 394 435 580 591 788 841 870 985 1182 1682 1740 1970 2364 2523 2955 3364 3940 4205 5046 5713 5910 8410 10092 11426 11820 12615 16820 17139 22852 25230 28565 34278 50460 57130 68556 85695 114260 165677 171390 331354 342780 497031 662708 828385 994062 1656770 1988124 2485155 3313540 4970310 9940620