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2729040 = 243583137
BaseRepresentation
bin1010011010010001010000
312010122112120
422122101100
51144312130
6134254240
732124246
oct12322120
95118476
102729040
1115a4406
12ab7380
13747222
14510796
1538d910
hex29a450

2729040 has 80 divisors (see below), whose sum is σ = 8624448. Its totient is φ = 713728.

The previous prime is 2729029. The next prime is 2729059. The reversal of 2729040 is 409272.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2729040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19852 + ... + 19988.

22729040 is an apocalyptic number.

2729040 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 2729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312224).

2729040 is an abundant number, since it is smaller than the sum of its proper divisors (5895408).

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

2729040 is a wasteful number, since it uses less digits than its factorization.

2729040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2729040 is about 1651.9806294264. The cubic root of 2729040 is about 139.7451144655.

The spelling of 2729040 in words is "two million, seven hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 137 166 240 249 274 332 411 415 498 548 664 685 822 830 996 1096 1245 1328 1370 1644 1660 1992 2055 2192 2490 2740 3288 3320 3984 4110 4980 5480 6576 6640 8220 9960 10960 11371 16440 19920 22742 32880 34113 45484 56855 68226 90968 113710 136452 170565 181936 227420 272904 341130 454840 545808 682260 909680 1364520 2729040