Search a number
-
+
2148240 = 24358951
BaseRepresentation
bin1000001100011110010000
311001010211110
420030132100
51022220430
6114013320
724155043
oct10143620
94033743
102148240
111238006
12877240
135a2a63
143dcc5a
152c67b0
hex20c790

2148240 has 40 divisors (see below), whose sum is σ = 6660288. Its totient is φ = 572800.

The previous prime is 2148227. The next prime is 2148241. The reversal of 2148240 is 428412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×21482402 = 9229870195200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2148241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4236 + ... + 4715.

22148240 is an apocalyptic number.

2148240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2148240 is an abundant number, since it is smaller than the sum of its proper divisors (4512048).

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

2148240 is a wasteful number, since it uses less digits than its factorization.

2148240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8967 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2148240 is about 1465.6875519701. The cubic root of 2148240 is about 129.0310603652.

The spelling of 2148240 in words is "two million, one hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8951 17902 26853 35804 44755 53706 71608 89510 107412 134265 143216 179020 214824 268530 358040 429648 537060 716080 1074120 2148240