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2039979940 = 2251723353739
BaseRepresentation
bin111100110010111…
…1001111110100100
312021011120201101121
41321211321332210
513134213324230
6534231503324
7101360354245
oct17145717644
95234521347
102039979940
11957574139
1248b227b44
13266834a2b
14154d04ccc
15be15d77a
hex79979fa4

2039979940 has 96 divisors (see below), whose sum is σ = 4753002240. Its totient is φ = 731529216.

The previous prime is 2039979919. The next prime is 2039979943. The reversal of 2039979940 is 499799302.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2039979943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2760091 + ... + 2760829.

It is an arithmetic number, because the mean of its divisors is an integer number (49510440).

Almost surely, 22039979940 is an apocalyptic number.

2039979940 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 2039979940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376501120).

2039979940 is an abundant number, since it is smaller than the sum of its proper divisors (2713022300).

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

2039979940 is a wasteful number, since it uses less digits than its factorization.

2039979940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 52.

The square root of 2039979940 is about 45166.1370940664. The cubic root of 2039979940 is about 1268.2609839721.

The spelling of 2039979940 in words is "two billion, thirty-nine million, nine hundred seventy-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 353 391 460 706 739 782 1412 1478 1564 1765 1955 2956 3530 3695 3910 6001 7060 7390 7820 8119 12002 12563 14780 16238 16997 24004 25126 30005 32476 33994 40595 50252 60010 62815 67988 81190 84985 120020 125630 138023 162380 169970 251260 260867 276046 288949 339940 521734 552092 577898 690115 1043468 1155796 1304335 1380230 1444745 2608670 2760460 2889490 4434739 5217340 5778980 5999941 8869478 11999882 17738956 22173695 23999764 29999705 44347390 59999410 88694780 101998997 119998820 203997994 407995988 509994985 1019989970 2039979940