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246266020 = 2257111312301
BaseRepresentation
bin11101010110110…
…11100010100100
3122011101121110201
432223123202210
51001021003040
640234200244
76050140510
oct1653334244
9564347421
10246266020
11117013340
126a583084
133c035c50
14249c7140
1516947a9a
hexeadb8a4

246266020 has 96 divisors (see below), whose sum is σ = 694423296. Its totient is φ = 70848000.

The previous prime is 246265997. The next prime is 246266021. The reversal of 246266020 is 20662642.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 246266020.

It is not an unprimeable number, because it can be changed into a prime (246266021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13870 + ... + 26170.

It is an arithmetic number, because the mean of its divisors is an integer number (7233576).

Almost surely, 2246266020 is an apocalyptic number.

246266020 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 246266020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347211648).

246266020 is an abundant number, since it is smaller than the sum of its proper divisors (448157276).

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

246266020 is a wasteful number, since it uses less digits than its factorization.

246266020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12341 (or 12339 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 246266020 is about 15692.8652578170. The cubic root of 246266020 is about 626.8084326671.

The spelling of 246266020 in words is "two hundred forty-six million, two hundred sixty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 12301 20020 24602 49204 61505 86107 123010 135311 159913 172214 246020 270622 319826 344428 430535 541244 639652 676555 799565 861070 947177 1119391 1353110 1599130 1722140 1759043 1894354 2238782 2706220 3198260 3518086 3788708 4477564 4735885 5596955 7036172 8795215 9471770 11193910 12313301 17590430 18943540 22387820 24626602 35180860 49253204 61566505 123133010 246266020