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2940150980 = 2251331379859
BaseRepresentation
bin1010111100111111…
…0010010011000100
321120220102010220202
42233033302103010
522010134312410
61203425350032
7132600604514
oct25717622304
97526363822
102940150980
111279702a48
126a0798318
1337b18b210
141dc6a7844
151231c0ca5
hexaf3f24c4

2940150980 has 96 divisors (see below), whose sum is σ = 7049978880. Its totient is φ = 1022077440.

The previous prime is 2940150937. The next prime is 2940151007. The reversal of 2940150980 is 890510492.

It is a super-3 number, since 3×29401509803 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 293291 + ... + 303149.

It is an arithmetic number, because the mean of its divisors is an integer number (73437280).

Almost surely, 22940150980 is an apocalyptic number.

2940150980 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 2940150980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524989440).

2940150980 is an abundant number, since it is smaller than the sum of its proper divisors (4109827900).

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

2940150980 is a wasteful number, since it uses less digits than its factorization.

2940150980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9949 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 2940150980 is about 54223.1590743291. The cubic root of 2940150980 is about 1432.5942735171.

The spelling of 2940150980 in words is "two billion, nine hundred forty million, one hundred fifty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 31 37 52 62 65 74 124 130 148 155 185 260 310 370 403 481 620 740 806 962 1147 1612 1924 2015 2294 2405 4030 4588 4810 5735 8060 9620 9859 11470 14911 19718 22940 29822 39436 49295 59644 74555 98590 128167 149110 197180 256334 298220 305629 364783 512668 611258 640835 729566 1222516 1281670 1459132 1528145 1823915 2563340 3056290 3647830 3973177 4742179 6112580 7295660 7946354 9484358 11308273 15892708 18968716 19865885 22616546 23710895 39731770 45233092 47421790 56541365 79463540 94843580 113082730 147007549 226165460 294015098 588030196 735037745 1470075490 2940150980