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631626060 = 2235132633079
BaseRepresentation
bin100101101001011…
…101100101001100
31122000111221001210
4211221131211030
52243144013220
6142401534420
721436506252
oct4551354514
91560457053
10631626060
112a459a00a
12157644410
13a0b1ca40
145dc5a5d2
153a6b86e0
hex25a5d94c

631626060 has 96 divisors (see below), whose sum is σ = 1912458240. Its totient is φ = 154835712.

The previous prime is 631626053. The next prime is 631626071. The reversal of 631626060 is 60626136.

631626060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6316260602 = 797902959342247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 203601 + ... + 206679.

It is an arithmetic number, because the mean of its divisors is an integer number (19921440).

Almost surely, 2631626060 is an apocalyptic number.

631626060 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 631626060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956229120).

631626060 is an abundant number, since it is smaller than the sum of its proper divisors (1280832180).

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

631626060 is a wasteful number, since it uses less digits than its factorization.

631626060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 631626060 is about 25132.1718122410. The cubic root of 631626060 is about 857.9987991789.

The spelling of 631626060 in words is "six hundred thirty-one million, six hundred twenty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 263 390 526 780 789 1052 1315 1578 2630 3079 3156 3419 3945 5260 6158 6838 7890 9237 10257 12316 13676 15395 15780 17095 18474 20514 30790 34190 36948 40027 41028 46185 51285 61580 68380 80054 92370 102570 120081 160108 184740 200135 205140 240162 400270 480324 600405 800540 809777 1200810 1619554 2401620 2429331 3239108 4048885 4858662 8097770 9717324 10527101 12146655 16195540 21054202 24293310 31581303 42108404 48586620 52635505 63162606 105271010 126325212 157906515 210542020 315813030 631626060