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2780148 = 2237231439
BaseRepresentation
bin1010100110101111110100
312020020122110
422212233310
51202431043
6135331020
732426250
oct12465764
95206573
102780148
111629848
12b20a70
13764577
14525260
1539db33
hex2a6bf4

2780148 has 48 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 759264.

The previous prime is 2780131. The next prime is 2780149. The reversal of 2780148 is 8410872.

2780148 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780149) 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, 1213 + ... + 2651.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

22780148 is an apocalyptic number.

2780148 is a gapful number since it is divisible by the number (28) 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 2780148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

2780148 is an abundant number, since it is smaller than the sum of its proper divisors (4961292).

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

2780148 is a wasteful number, since it uses less digits than its factorization.

2780148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1474 counting only the distinct ones).

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

The square root of 2780148 is about 1667.3775817133. The cubic root of 2780148 is about 140.6120819739.

The spelling of 2780148 in words is "two million, seven hundred eighty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1439 1932 2878 4317 5756 8634 10073 17268 20146 30219 33097 40292 60438 66194 99291 120876 132388 198582 231679 397164 463358 695037 926716 1390074 2780148