Search a number
-
+
969969120 = 25355713539
BaseRepresentation
bin111001110100001…
…000110111100000
32111121011112111020
4321310020313200
53441303002440
6240125445440
733015413211
oct7164106740
92447145436
10969969120
1145858217a
12230a10880
13125c54133
1492b71408
155a24d3d0
hex39d08de0

969969120 has 96 divisors (see below), whose sum is σ = 3061618560. Its totient is φ = 258132480.

The previous prime is 969969089. The next prime is 969969131. The reversal of 969969120 is 21969969.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 272311 + ... + 275849.

It is an arithmetic number, because the mean of its divisors is an integer number (31891860).

Almost surely, 2969969120 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 969969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530809280).

969969120 is an abundant number, since it is smaller than the sum of its proper divisors (2091649440).

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

969969120 is a wasteful number, since it uses less digits than its factorization.

969969120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 51.

The square root of 969969120 is about 31144.3272523264. The cubic root of 969969120 is about 989.8877946499.

The spelling of 969969120 in words is "nine hundred sixty-nine million, nine hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 571 1142 1713 2284 2855 3426 3539 4568 5710 6852 7078 8565 9136 10617 11420 13704 14156 17130 17695 18272 21234 22840 27408 28312 34260 35390 42468 45680 53085 54816 56624 68520 70780 84936 91360 106170 113248 137040 141560 169872 212340 274080 283120 339744 424680 566240 849360 1698720 2020769 4041538 6062307 8083076 10103845 12124614 16166152 20207690 24249228 30311535 32332304 40415380 48498456 60623070 64664608 80830760 96996912 121246140 161661520 193993824 242492280 323323040 484984560 969969120