Search a number
-
+
1134606320 = 24547373809
BaseRepresentation
bin100001110100000…
…1011011111110000
32221001221222021022
41003220023133300
54310424400240
6304330315012
740054665101
oct10350133760
92831858238
101134606320
11532501581
12277b88a68
131510a94b3
14aa98a3a8
156991e9b5
hex43a0b7f0

1134606320 has 80 divisors (see below), whose sum is σ = 2704648320. Its totient is φ = 442447872.

The previous prime is 1134606287. The next prime is 1134606349. The reversal of 1134606320 is 236064311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1134606320.

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, 1402076 + ... + 1402884.

It is an arithmetic number, because the mean of its divisors is an integer number (33808104).

Almost surely, 21134606320 is an apocalyptic number.

1134606320 is a gapful number since it is divisible by the number (10) 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 1134606320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352324160).

1134606320 is an abundant number, since it is smaller than the sum of its proper divisors (1570042000).

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

1134606320 is a wasteful number, since it uses less digits than its factorization.

1134606320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 1134606320 is about 33683.9178243862. The cubic root of 1134606320 is about 1042.9938143622.

The spelling of 1134606320 in words is "one billion, one hundred thirty-four million, six hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 373 376 470 746 752 809 940 1492 1618 1865 1880 2984 3236 3730 3760 4045 5968 6472 7460 8090 12944 14920 16180 17531 29840 32360 35062 38023 64720 70124 76046 87655 140248 152092 175310 190115 280496 301757 304184 350620 380230 603514 608368 701240 760460 1207028 1402480 1508785 1520920 2414056 3017570 3041840 4828112 6035140 12070280 14182579 24140560 28365158 56730316 70912895 113460632 141825790 226921264 283651580 567303160 1134606320