Search a number
-
+
9473940 = 22325773103
BaseRepresentation
bin100100001000…
…111110010100
3122211022210200
4210020332110
54411131230
6535020500
7143345550
oct44107624
918738720
109473940
115390a03
12320a730
131c692a8
141388860
15c72160
hex908f94

9473940 has 144 divisors (see below), whose sum is σ = 33616128. Its totient is φ = 2115072.

The previous prime is 9473929. The next prime is 9473977. The reversal of 9473940 is 493749.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9473895 and 9473904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91929 + ... + 92031.

Almost surely, 29473940 is an apocalyptic number.

9473940 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 9473940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808064).

9473940 is an abundant number, since it is smaller than the sum of its proper divisors (24142188).

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

9473940 is a wasteful number, since it uses less digits than its factorization.

9473940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9473940 is about 3077.9766080982. The cubic root of 9473940 is about 211.5973429817.

The spelling of 9473940 in words is "nine million, four hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 73 84 90 103 105 126 140 146 180 206 210 219 252 292 309 315 365 412 420 438 511 515 618 630 657 721 730 876 927 1022 1030 1095 1236 1260 1314 1442 1460 1533 1545 1854 2044 2060 2163 2190 2555 2628 2884 3066 3090 3285 3605 3708 4326 4380 4599 4635 5110 6132 6180 6489 6570 7210 7519 7665 8652 9198 9270 10220 10815 12978 13140 14420 15038 15330 18396 18540 21630 22557 22995 25956 30076 30660 32445 37595 43260 45114 45990 52633 64890 67671 75190 90228 91980 105266 112785 129780 135342 150380 157899 210532 225570 263165 270684 315798 338355 451140 473697 526330 631596 676710 789495 947394 1052660 1353420 1578990 1894788 2368485 3157980 4736970 9473940