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2942980 = 225374197
BaseRepresentation
bin1011001110100000000100
312112112000021
423032200010
51223133410
6143024524
734005055
oct13164004
95475007
102942980
111730117
12b9b144
137c0711
1456872c
153d1eda
hex2ce804

2942980 has 48 divisors (see below), whose sum is σ = 6569136. Its totient is φ = 1105920.

The previous prime is 2942977. The next prime is 2942981. The reversal of 2942980 is 892492.

It can be written as a sum of positive squares in 8 ways, for example, as 66564 + 2876416 = 258^2 + 1696^2 .

It is a super-2 number, since 2×29429802 = 17322262560800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2942981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30292 + ... + 30388.

It is an arithmetic number, because the mean of its divisors is an integer number (136857).

22942980 is an apocalyptic number.

2942980 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 2942980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284568).

2942980 is an abundant number, since it is smaller than the sum of its proper divisors (3626156).

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

2942980 is a wasteful number, since it uses less digits than its factorization.

2942980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 2942980 is about 1715.5115855045. The cubic root of 2942980 is about 143.3053608054.

The spelling of 2942980 in words is "two million, nine hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 41 74 82 97 148 164 185 194 205 370 388 410 485 740 820 970 1517 1940 3034 3589 3977 6068 7178 7585 7954 14356 15170 15908 17945 19885 30340 35890 39770 71780 79540 147149 294298 588596 735745 1471490 2942980