Search a number
-
+
8972940 = 22351719463
BaseRepresentation
bin100010001110…
…101010001100
3121212212120010
4202032222030
54244113230
6520153220
7136161114
oct42165214
917785503
108972940
115079559
123008810
131b22242
141298044
15bc39b0
hex88ea8c

8972940 has 96 divisors (see below), whose sum is σ = 28062720. Its totient is φ = 2128896.

The previous prime is 8972933. The next prime is 8972947. The reversal of 8972940 is 492798.

It is an interprime number because it is at equal distance from previous prime (8972933) and next prime (8972947).

It is not an unprimeable number, because it can be changed into a prime (8972947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19149 + ... + 19611.

It is an arithmetic number, because the mean of its divisors is an integer number (292320).

Almost surely, 28972940 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 8972940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031360).

8972940 is an abundant number, since it is smaller than the sum of its proper divisors (19089780).

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

8972940 is a wasteful number, since it uses less digits than its factorization.

8972940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 8972940 is about 2995.4866048774. The cubic root of 8972940 is about 207.7997023984.

The spelling of 8972940 in words is "eight million, nine hundred seventy-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 463 510 570 646 926 969 1020 1140 1292 1389 1615 1852 1938 2315 2778 3230 3876 4630 4845 5556 6460 6945 7871 8797 9260 9690 13890 15742 17594 19380 23613 26391 27780 31484 35188 39355 43985 47226 52782 78710 87970 94452 105564 118065 131955 149549 157420 175940 236130 263910 299098 448647 472260 527820 598196 747745 897294 1495490 1794588 2243235 2990980 4486470 8972940