Search a number
-
+
4001250120 = 233574763393
BaseRepresentation
bin1110111001111110…
…0011101101001000
3101022212001120021220
43232133203231020
531143310000440
61501012402040
7201104031150
oct35637435510
911285046256
104001250120
11177366848a
12938016320
134b9c6b72a
1429d59b760
151864208d0
hexee7e3b48

4001250120 has 64 divisors (see below), whose sum is σ = 13718574720. Its totient is φ = 914571264.

The previous prime is 4001250103. The next prime is 4001250151. The reversal of 4001250120 is 210521004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4001250120.

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 15 ways as a sum of consecutive naturals, for example, 2380857 + ... + 2382536.

It is an arithmetic number, because the mean of its divisors is an integer number (214352730).

Almost surely, 24001250120 is an apocalyptic number.

4001250120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001250120 is an abundant number, since it is smaller than the sum of its proper divisors (9717324600).

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

4001250120 is a wasteful number, since it uses less digits than its factorization.

4001250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763414 (or 4763410 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 4001250120 is about 63255.4354976709. The cubic root of 4001250120 is about 1587.5664048937.

Adding to 4001250120 its reverse (210521004), we get a palindrome (4211771124).

The spelling of 4001250120 in words is "four billion, one million, two hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4763393 9526786 14290179 19053572 23816965 28580358 33343751 38107144 47633930 57160716 66687502 71450895 95267860 100031253 114321432 133375004 142901790 166718755 190535720 200062506 266750008 285803580 333437510 400125012 500156265 571607160 666875020 800250024 1000312530 1333750040 2000625060 4001250120