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4270012000 = 25532514253
BaseRepresentation
bin1111111010000011…
…0011011001100000
3102000120210002021121
43332200303121200
532221110341000
61543413102024
7210546334402
oct37640633140
912016702247
104270012000
1118a1346241
129b2027914
1353084cb27
142c715cb72
1519ed0db1a
hexfe833660

4270012000 has 96 divisors (see below), whose sum is σ = 10535694624. Its totient is φ = 1700800000.

The previous prime is 4270011989. The next prime is 4270012003. The reversal of 4270012000 is 2100724.

4270012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001874 + ... + 1006126.

It is an arithmetic number, because the mean of its divisors is an integer number (109746819).

Almost surely, 24270012000 is an apocalyptic number.

4270012000 is a gapful number since it is divisible by the number (40) 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 4270012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267847312).

4270012000 is an abundant number, since it is smaller than the sum of its proper divisors (6265682624).

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

4270012000 is a wasteful number, since it uses less digits than its factorization.

4270012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 4270012000 is about 65345.3288307588. The cubic root of 4270012000 is about 1622.3443171033.

Adding to 4270012000 its reverse (2100724), we get a palindrome (4272112724).

The spelling of 4270012000 in words is "four billion, two hundred seventy million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 251 400 500 502 800 1000 1004 1255 2000 2008 2510 4000 4016 4253 5020 6275 8032 8506 10040 12550 17012 20080 21265 25100 31375 34024 40160 42530 50200 62750 68048 85060 100400 106325 125500 136096 170120 200800 212650 251000 340240 425300 502000 531625 680480 850600 1004000 1063250 1067503 1701200 2126500 2135006 3402400 4253000 4270012 5337515 8506000 8540024 10675030 17012000 17080048 21350060 26687575 34160096 42700120 53375150 85400240 106750300 133437875 170800480 213500600 266875750 427001200 533751500 854002400 1067503000 2135006000 4270012000