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2900064 = 253171777
BaseRepresentation
bin1011000100000001100000
312110100010210
423010001200
51220300224
6142054120
733435666
oct13040140
95410123
102900064
111700952
12b7a340
137a701b
14556c36
153c4429
hex2c4060

2900064 has 48 divisors (see below), whose sum is σ = 8065008. Its totient is φ = 909312.

The previous prime is 2900063. The next prime is 2900069. The reversal of 2900064 is 4600092.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2900064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2900063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744 + ... + 2520.

It is an arithmetic number, because the mean of its divisors is an integer number (168021).

22900064 is an apocalyptic number.

2900064 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 2900064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032504).

2900064 is an abundant number, since it is smaller than the sum of its proper divisors (5164944).

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

2900064 is a wasteful number, since it uses less digits than its factorization.

2900064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2900064 is about 1702.9574275360. The cubic root of 2900064 is about 142.6053637498.

The spelling of 2900064 in words is "two million, nine hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 1777 3554 5331 7108 10662 14216 21324 28432 30209 42648 56864 60418 85296 90627 120836 170592 181254 241672 362508 483344 725016 966688 1450032 2900064