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2078148 = 2231761167
BaseRepresentation
bin111111011010111000100
310220120200110
413323113010
51013000043
6112313020
723443512
oct7732704
93816613
102078148
11119a386
12842770
13579b97
143c14b2
152b0b33
hex1fb5c4

2078148 has 48 divisors (see below), whose sum is σ = 5249664. Its totient is φ = 637440.

The previous prime is 2078123. The next prime is 2078149. The reversal of 2078148 is 8418702.

It is a super-3 number, since 3×20781483 = 26924687753546333376, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2078149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12361 + ... + 12527.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

22078148 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 2078148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832).

2078148 is an abundant number, since it is smaller than the sum of its proper divisors (3171516).

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

2078148 is a wasteful number, since it uses less digits than its factorization.

2078148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2078148 is about 1441.5783017235. The cubic root of 2078148 is about 127.6121888364.

The spelling of 2078148 in words is "two million, seventy-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 167 183 204 244 334 366 501 668 732 1002 1037 2004 2074 2839 3111 4148 5678 6222 8517 10187 11356 12444 17034 20374 30561 34068 40748 61122 122244 173179 346358 519537 692716 1039074 2078148