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675121020 = 223572277829
BaseRepresentation
bin101000001111011…
…000011101111100
31202001100200221020
4220033120131330
52340312333040
6150554104140
722505301600
oct5017303574
91661320836
10675121020
113170a7462
1216a11b050
13a9b3b2c2
146593d500
153e40acd0
hex283d877c

675121020 has 144 divisors (see below), whose sum is σ = 2209566240. Its totient is φ = 153570816.

The previous prime is 675120997. The next prime is 675121033. The reversal of 675121020 is 20121576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813966 + ... + 814794.

It is an arithmetic number, because the mean of its divisors is an integer number (15344210).

Almost surely, 2675121020 is an apocalyptic number.

675121020 is a gapful number since it is divisible by the number (60) 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 675121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104783120).

675121020 is an abundant number, since it is smaller than the sum of its proper divisors (1534445220).

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

675121020 is a wasteful number, since it uses less digits than its factorization.

675121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 675121020 is about 25983.0910401361. The cubic root of 675121020 is about 877.2577427203.

Adding to 675121020 its reverse (20121576), we get a palindrome (695242596).

The spelling of 675121020 in words is "six hundred seventy-five million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 277 294 420 490 554 588 735 829 831 980 1108 1385 1470 1658 1662 1939 2487 2770 2940 3316 3324 3878 4145 4155 4974 5540 5803 5817 7756 8290 8310 9695 9948 11606 11634 12435 13573 16580 16620 17409 19390 23212 23268 24870 27146 29015 29085 34818 38780 40621 40719 49740 54292 58030 58170 67865 69636 81242 81438 87045 116060 116340 121863 135730 162484 162876 174090 203105 203595 229633 243726 271460 348180 406210 407190 459266 487452 609315 688899 812420 814380 918532 1148165 1218630 1377798 1607431 2296330 2437260 2755596 3214862 3444495 4592660 4822293 6429724 6888990 8037155 9644586 11252017 13777980 16074310 19289172 22504034 24111465 32148620 33756051 45008068 48222930 56260085 67512102 96445860 112520170 135024204 168780255 225040340 337560510 675121020