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2872640 = 26547191
BaseRepresentation
bin1010111101010101000000
312101221112002
422331111000
51213411030
6141323132
733263021
oct12752500
95357462
102872640
111692291
12b664a8
137976b4
1454ac48
153bb245
hex2bd540

2872640 has 56 divisors (see below), whose sum is σ = 7022592. Its totient is φ = 1118720.

The previous prime is 2872621. The next prime is 2872669. The reversal of 2872640 is 462782.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14945 + ... + 15135.

22872640 is an apocalyptic number.

2872640 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 2872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511296).

2872640 is an abundant number, since it is smaller than the sum of its proper divisors (4149952).

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

2872640 is a wasteful number, since it uses less digits than its factorization.

2872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2872640 is about 1694.8864268735. The cubic root of 2872640 is about 142.1544309442.

The spelling of 2872640 in words is "two million, eight hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 191 235 320 376 382 470 752 764 940 955 1504 1528 1880 1910 3008 3056 3760 3820 6112 7520 7640 8977 12224 15040 15280 17954 30560 35908 44885 61120 71816 89770 143632 179540 287264 359080 574528 718160 1436320 2872640