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2755104 = 253112609
BaseRepresentation
bin1010100000101000100000
312011222021220
422200220200
51201130404
6135015040
732263242
oct12405040
95158256
102755104
111611a50
12b0a480
13756051
1451a092
153964d9
hex2a0a20

2755104 has 48 divisors (see below), whose sum is σ = 7892640. Its totient is φ = 834560.

The previous prime is 2755097. The next prime is 2755111. The reversal of 2755104 is 4015572.

It is an interprime number because it is at equal distance from previous prime (2755097) and next prime (2755111).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

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, 249 + ... + 2360.

It is an arithmetic number, because the mean of its divisors is an integer number (164430).

22755104 is an apocalyptic number.

2755104 is a gapful number since it is divisible by the number (24) 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 2755104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946320).

2755104 is an abundant number, since it is smaller than the sum of its proper divisors (5137536).

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

2755104 is a wasteful number, since it uses less digits than its factorization.

2755104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 2755104 is about 1659.8505956863. The cubic root of 2755104 is about 140.1885893808.

The spelling of 2755104 in words is "two million, seven hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2609 5218 7827 10436 15654 20872 28699 31308 41744 57398 62616 83488 86097 114796 125232 172194 229592 250464 344388 459184 688776 918368 1377552 2755104