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4077080 = 235714561
BaseRepresentation
bin1111100011011000011000
321200010200222
433203120120
52020431310
6223215212
746440350
oct17433030
97603628
104077080
112335197
121447508
13ac9997
14781b60
15558055
hex3e3618

4077080 has 32 divisors (see below), whose sum is σ = 10484640. Its totient is φ = 1397760.

The previous prime is 4077079. The next prime is 4077097. The reversal of 4077080 is 807704.

4077080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7001 + ... + 7560.

It is an arithmetic number, because the mean of its divisors is an integer number (327645).

Almost surely, 24077080 is an apocalyptic number.

4077080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4077080 is an abundant number, since it is smaller than the sum of its proper divisors (6407560).

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

4077080 is a wasteful number, since it uses less digits than its factorization.

4077080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14579 (or 14575 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 4077080 is about 2019.1780505939. The cubic root of 4077080 is about 159.7532655421.

Multiplying 4077080 by its sum of digits (26), we get a triangular number (106004080 = T14560).

The spelling of 4077080 in words is "four million, seventy-seven thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 14561 29122 58244 72805 101927 116488 145610 203854 291220 407708 509635 582440 815416 1019270 2038540 4077080