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2900480 = 29511103
BaseRepresentation
bin1011000100001000000000
312110100201012
423010020000
51220303410
6142100052
733440132
oct13041000
95410635
102900480
1117011a0
12b7a628
137a727b
14557052
153c4605
hex2c4200

2900480 has 80 divisors (see below), whose sum is σ = 7660224. Its totient is φ = 1044480.

The previous prime is 2900477. The next prime is 2900503. The reversal of 2900480 is 840092.

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

It is a super-3 number, since 3×29004803 = 73203337213771776000, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28109 + ... + 28211.

22900480 is an apocalyptic number.

2900480 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 2900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830112).

2900480 is an abundant number, since it is smaller than the sum of its proper divisors (4759744).

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

2900480 is a wasteful number, since it uses less digits than its factorization.

2900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2900480 is about 1703.0795636141. The cubic root of 2900480 is about 142.6121821045.

The spelling of 2900480 in words is "two million, nine hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 103 110 128 160 176 206 220 256 320 352 412 440 512 515 640 704 824 880 1030 1133 1280 1408 1648 1760 2060 2266 2560 2816 3296 3520 4120 4532 5632 5665 6592 7040 8240 9064 11330 13184 14080 16480 18128 22660 26368 28160 32960 36256 45320 52736 65920 72512 90640 131840 145024 181280 263680 290048 362560 580096 725120 1450240 2900480