[go: up one dir, main page]

Search a number
-
+
8490960 = 243353931
BaseRepresentation
bin100000011000…
…111111010000
3120222101102000
4200120333100
54133202320
6501554000
7132112662
oct40307720
916871360
108490960
11487a425
122a15900
1319b3a4a
1411b0532
15b2ac90
hex818fd0

8490960 has 80 divisors (see below), whose sum is σ = 29254080. Its totient is φ = 2263680.

The previous prime is 8490949. The next prime is 8491001. The reversal of 8490960 is 690948.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195 + ... + 4125.

It is an arithmetic number, because the mean of its divisors is an integer number (365676).

Almost surely, 28490960 is an apocalyptic number.

8490960 is a gapful number since it is divisible by the number (80) 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 8490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627040).

8490960 is an abundant number, since it is smaller than the sum of its proper divisors (20763120).

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

8490960 is a wasteful number, since it uses less digits than its factorization.

8490960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8490960 is about 2913.9251877837. The cubic root of 8490960 is about 204.0103800947.

The spelling of 8490960 in words is "eight million, four hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 3931 7862 11793 15724 19655 23586 31448 35379 39310 47172 58965 62896 70758 78620 94344 106137 117930 141516 157240 176895 188688 212274 235860 283032 314480 353790 424548 471720 530685 566064 707580 849096 943440 1061370 1415160 1698192 2122740 2830320 4245480 8490960