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1048138620 = 2235671272053
BaseRepresentation
bin111110011110010…
…101001101111100
32201001020221212220
4332132111031330
54121310413440
6252001125340
734655013504
oct7636251574
92631227786
101048138620
11498713071
12253029850
131391c3289
149d2bca04
156203e8d0
hex3e79537c

1048138620 has 96 divisors (see below), whose sum is σ = 3003506688. Its totient is φ = 273030912.

The previous prime is 1048138607. The next prime is 1048138669. The reversal of 1048138620 is 268318401.

It is a congruent number.

It is an unprimeable number.

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, 509514 + ... + 511566.

It is an arithmetic number, because the mean of its divisors is an integer number (31286528).

Almost surely, 21048138620 is an apocalyptic number.

1048138620 is a gapful number since it is divisible by the number (10) 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 1048138620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501753344).

1048138620 is an abundant number, since it is smaller than the sum of its proper divisors (1955368068).

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

1048138620 is a wasteful number, since it uses less digits than its factorization.

1048138620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1048138620 is about 32374.9690347342. The cubic root of 1048138620 is about 1015.7953984328.

The spelling of 1048138620 in words is "one billion, forty-eight million, one hundred thirty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 127 134 201 254 268 335 381 402 508 635 670 762 804 1005 1270 1340 1524 1905 2010 2053 2540 3810 4020 4106 6159 7620 8212 8509 10265 12318 17018 20530 24636 25527 30795 34036 41060 42545 51054 61590 85090 102108 123180 127635 137551 170180 255270 260731 275102 412653 510540 521462 550204 687755 782193 825306 1042924 1303655 1375510 1564386 1650612 2063265 2607310 2751020 3128772 3910965 4126530 5214620 7821930 8253060 15643860 17468977 34937954 52406931 69875908 87344885 104813862 174689770 209627724 262034655 349379540 524069310 1048138620