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2940636780 = 22325471931801
BaseRepresentation
bin1010111101000110…
…1000111001101100
321120221022211022100
42233101220321230
522010300334110
61203444015100
7132605000034
oct25721507154
97527284270
102940636780
111279a04a34
126a0991490
1337b2cb383
141dc7928c4
15123269bc0
hexaf468e6c

2940636780 has 144 divisors (see below), whose sum is σ = 9162002304. Its totient is φ = 763084800.

The previous prime is 2940636773. The next prime is 2940636841. The reversal of 2940636780 is 876360492.

2940636780 is a `hidden beast` number, since 2 + 9 + 4 + 0 + 636 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1631880 + ... + 1633680.

It is an arithmetic number, because the mean of its divisors is an integer number (63625016).

Almost surely, 22940636780 is an apocalyptic number.

2940636780 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 2940636780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581001152).

2940636780 is an abundant number, since it is smaller than the sum of its proper divisors (6221365524).

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

2940636780 is a wasteful number, since it uses less digits than its factorization.

2940636780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2940636780 is about 54227.6385250178. The cubic root of 2940636780 is about 1432.6731715029.

The spelling of 2940636780 in words is "two billion, nine hundred forty million, six hundred thirty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 193 235 282 386 423 470 564 579 705 772 846 940 965 1158 1410 1692 1737 1801 1930 2115 2316 2820 2895 3474 3602 3860 4230 5403 5790 6948 7204 8460 8685 9005 9071 10806 11580 16209 17370 18010 18142 21612 27015 27213 32418 34740 36020 36284 45355 54030 54426 64836 81045 81639 84647 90710 108060 108852 136065 162090 163278 169294 181420 253941 272130 324180 326556 338588 347593 408195 423235 507882 544260 695186 761823 816390 846470 1015764 1042779 1269705 1390372 1523646 1632780 1692940 1737965 2085558 2539410 3047292 3128337 3475930 3809115 4171116 5078820 5213895 6256674 6951860 7618230 10427790 12513348 15236460 15641685 16336871 20855580 31283370 32673742 49010613 62566740 65347484 81684355 98021226 147031839 163368710 196042452 245053065 294063678 326737420 490106130 588127356 735159195 980212260 1470318390 2940636780