Search a number
-
+
966420 = 2232571359
BaseRepresentation
bin11101011111100010100
31211002200100
43223330110
5221411140
632414100
711133360
oct3537424
91732610
10966420
116000a4
123a7330
1327ab60
141b22a0
15141530
hexebf14

966420 has 144 divisors (see below), whose sum is σ = 3669120. Its totient is φ = 200448.

The previous prime is 966419. The next prime is 966431. The reversal of 966420 is 24669.

It is a nialpdrome in base 10.

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, 16351 + ... + 16409.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2966420 is an apocalyptic number.

966420 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 966420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834560).

966420 is an abundant number, since it is smaller than the sum of its proper divisors (2702700).

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

966420 is a wasteful number, since it uses less digits than its factorization.

966420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 966420 is about 983.0666304987. The cubic root of 966420 is about 98.8678984939.

The spelling of 966420 in words is "nine hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 59 60 63 65 70 78 84 90 91 105 117 118 126 130 140 156 177 180 182 195 210 234 236 252 260 273 295 315 354 364 390 413 420 455 468 531 546 585 590 630 708 767 780 819 826 885 910 1062 1092 1170 1180 1239 1260 1365 1534 1638 1652 1770 1820 2065 2124 2301 2340 2478 2655 2730 3068 3276 3540 3717 3835 4095 4130 4602 4956 5310 5369 5460 6195 6903 7434 7670 8190 8260 9204 10620 10738 11505 12390 13806 14868 15340 16107 16380 18585 21476 23010 24780 26845 27612 32214 34515 37170 46020 48321 53690 64428 69030 74340 80535 96642 107380 138060 161070 193284 241605 322140 483210 966420