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2900944060 = 225726148527
BaseRepresentation
bin1010110011101000…
…1110010010111100
321111011122020010121
42230322032102330
521420120202220
61155505144324
7131613421600
oct25472162274
97434566117
102900944060
111259564233
1268b62b0a4
13373011661
141d73bd500
1511ea28eaa
hexace8e4bc

2900944060 has 72 divisors (see below), whose sum is σ = 7202913984. Its totient is φ = 978284160.

The previous prime is 2900944051. The next prime is 2900944061. The reversal of 2900944060 is 604490092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2900944061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35517 + ... + 84043.

It is an arithmetic number, because the mean of its divisors is an integer number (100040472).

Almost surely, 22900944060 is an apocalyptic number.

2900944060 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 2900944060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601456992).

2900944060 is an abundant number, since it is smaller than the sum of its proper divisors (4301969924).

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

2900944060 is a wasteful number, since it uses less digits than its factorization.

2900944060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48611 (or 48602 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 2900944060 is about 53860.4127351434. The cubic root of 2900944060 is about 1426.1978740657.

The spelling of 2900944060 in words is "two billion, nine hundred million, nine hundred forty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 427 490 610 854 980 1220 1708 2135 2989 4270 5978 8540 11956 14945 29890 48527 59780 97054 194108 242635 339689 485270 679378 970540 1358756 1698445 2377823 2960147 3396890 4755646 5920294 6793780 9511292 11840588 11889115 14800735 20721029 23778230 29601470 41442058 47556460 59202940 82884116 103605145 145047203 207210290 290094406 414420580 580188812 725236015 1450472030 2900944060