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3959440980 = 22351110875519
BaseRepresentation
bin1110110000000000…
…0100011001010100
3101012221101102221020
43230000010121110
531102104102410
61452520321140
7200055456465
oct35400043124
911187342836
103959440980
111752001680
129260131b0
134b13c05b1
14297bd6d6c
15182912a70
hexec004654

3959440980 has 96 divisors (see below), whose sum is σ = 12107612160. Its totient is φ = 958807680.

The previous prime is 3959440967. The next prime is 3959440999. The reversal of 3959440980 is 890449593.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714661 + ... + 720179.

It is an arithmetic number, because the mean of its divisors is an integer number (126120960).

Almost surely, 23959440980 is an apocalyptic number.

3959440980 is a gapful number since it is divisible by the number (30) 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 3959440980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053806080).

3959440980 is an abundant number, since it is smaller than the sum of its proper divisors (8148171180).

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

3959440980 is a wasteful number, since it uses less digits than its factorization.

3959440980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 3959440980 is about 62924.0890279708. The cubic root of 3959440980 is about 1582.0175289727.

The spelling of 3959440980 in words is "three billion, nine hundred fifty-nine million, four hundred forty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1087 2174 3261 4348 5435 5519 6522 10870 11038 11957 13044 16305 16557 21740 22076 23914 27595 32610 33114 35871 47828 55190 59785 60709 65220 66228 71742 82785 110380 119570 121418 143484 165570 179355 182127 239140 242836 303545 331140 358710 364254 607090 717420 728508 910635 1214180 1821270 3642540 5999153 11998306 17997459 23996612 29995765 35994918 59991530 65990683 71989836 89987295 119983060 131981366 179974590 197972049 263962732 329953415 359949180 395944098 659906830 791888196 989860245 1319813660 1979720490 3959440980