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2714040 = 233357359
BaseRepresentation
bin1010010110100110111000
312002212222000
422112212320
51143322130
6134101000
732032440
oct12264670
95085860
102714040
11159410a
12aaa760
13740454
14509120
15389260
hex2969b8

2714040 has 128 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 618624.

The previous prime is 2714039. The next prime is 2714057. The reversal of 2714040 is 404172.

It is a happy number.

2714040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

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 31 ways as a sum of consecutive naturals, for example, 7381 + ... + 7739.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

22714040 is an apocalyptic number.

2714040 is a gapful number since it is divisible by the number (20) 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 2714040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

2714040 is an abundant number, since it is smaller than the sum of its proper divisors (7653960).

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

2714040 is a wasteful number, since it uses less digits than its factorization.

2714040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2714040 is about 1647.4343689507. The cubic root of 2714040 is about 139.4886104703.

The spelling of 2714040 in words is "two million, seven hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 359 360 378 420 504 540 630 718 756 840 945 1077 1080 1260 1436 1512 1795 1890 2154 2513 2520 2872 3231 3590 3780 4308 5026 5385 6462 7180 7539 7560 8616 9693 10052 10770 12565 12924 14360 15078 16155 19386 20104 21540 22617 25130 25848 30156 32310 37695 38772 43080 45234 48465 50260 60312 64620 67851 75390 77544 90468 96930 100520 113085 129240 135702 150780 180936 193860 226170 271404 301560 339255 387720 452340 542808 678510 904680 1357020 2714040