Search a number
-
+
6149120 = 21051201
BaseRepresentation
bin10111011101010000000000
3102120102000012
4113131100000
53033232440
6335444052
7103160315
oct27352000
912512005
106149120
11351aa1a
122086628
131373b43
14b60d0c
15816e65
hex5dd400

6149120 has 44 divisors (see below), whose sum is σ = 14762964. Its totient is φ = 2457600.

The previous prime is 6149093. The next prime is 6149147. The reversal of 6149120 is 219416.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6149093) and next prime (6149147).

It can be written as a sum of positive squares in 2 ways, for example, as 692224 + 5456896 = 832^2 + 2336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4520 + ... + 5720.

Almost surely, 26149120 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 6149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381482).

6149120 is an abundant number, since it is smaller than the sum of its proper divisors (8613844).

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

6149120 is a wasteful number, since it uses less digits than its factorization.

6149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 6149120 is about 2479.7419220556. The cubic root of 6149120 is about 183.2051408714.

The spelling of 6149120 in words is "six million, one hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1201 1280 2402 2560 4804 5120 6005 9608 12010 19216 24020 38432 48040 76864 96080 153728 192160 307456 384320 614912 768640 1229824 1537280 3074560 6149120