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6459987940 = 2257831573541
BaseRepresentation
bin1100000010000101…
…11001011111100100
3121200012121101111121
412001002321133210
5101212224103230
62545003543324
7316040664040
oct60102713744
917605541447
106459987940
11281554960a
12130352ab44
137bc481993
14453d4b020
1527c1ea77a
hex1810b97e4

6459987940 has 96 divisors (see below), whose sum is σ = 15795166464. Its totient is φ = 2173616640.

The previous prime is 6459987931. The next prime is 6459987959. The reversal of 6459987940 is 497899546.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822570 + ... + 1826110.

It is an arithmetic number, because the mean of its divisors is an integer number (164532984).

Almost surely, 26459987940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6459987940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7897583232).

6459987940 is an abundant number, since it is smaller than the sum of its proper divisors (9335178524).

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

6459987940 is a wasteful number, since it uses less digits than its factorization.

6459987940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The square root of 6459987940 is about 80374.0501654607. The cubic root of 6459987940 is about 1862.4183231603.

The spelling of 6459987940 in words is "six billion, four hundred fifty-nine million, nine hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 157 166 314 332 415 581 628 785 830 1099 1162 1570 1660 2198 2324 2905 3140 3541 4396 5495 5810 7082 10990 11620 13031 14164 17705 21980 24787 26062 35410 49574 52124 65155 70820 91217 99148 123935 130310 182434 247870 260620 293903 364868 456085 495740 555937 587806 912170 1111874 1175612 1469515 1824340 2057321 2223748 2779685 2939030 3891559 4114642 5559370 5878060 7783118 8229284 10286605 11118740 15566236 19457795 20573210 38915590 41146420 46142771 77831180 92285542 184571084 230713855 322999397 461427710 645998794 922855420 1291997588 1614996985 3229993970 6459987940