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4125120 = 26354297
BaseRepresentation
bin1111101111000111000000
321202120121020
433233013000
52024000440
6224225440
750030406
oct17570700
97676536
104125120
11236829a
12146b280
13b157cc
14795476
155673d0
hex3ef1c0

4125120 has 56 divisors (see below), whose sum is σ = 13100304. Its totient is φ = 1099776.

The previous prime is 4125113. The next prime is 4125127. The reversal of 4125120 is 215214.

It is an interprime number because it is at equal distance from previous prime (4125113) and next prime (4125127).

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 4125120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1189 + ... + 3108.

It is an arithmetic number, because the mean of its divisors is an integer number (233934).

Almost surely, 24125120 is an apocalyptic number.

4125120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4125120 is an abundant number, since it is smaller than the sum of its proper divisors (8975184).

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

4125120 is a wasteful number, since it uses less digits than its factorization.

4125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4307 counting only the distinct ones).

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

The square root of 4125120 is about 2031.0391429020. The cubic root of 4125120 is about 160.3782716529.

The spelling of 4125120 in words is "four million, one hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4297 8594 12891 17188 21485 25782 34376 42970 51564 64455 68752 85940 103128 128910 137504 171880 206256 257820 275008 343760 412512 515640 687520 825024 1031280 1375040 2062560 4125120