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472120 = 235112937
BaseRepresentation
bin1110011010000111000
3212222121221
41303100320
5110101440
614041424
74004305
oct1632070
9788557
10472120
112a2790
121a9274
13136b7c
14c40ac
1594d4a
hex73438

472120 has 64 divisors (see below), whose sum is σ = 1231200. Its totient is φ = 161280.

The previous prime is 472111. The next prime is 472123. The reversal of 472120 is 21274.

It is a junction number, because it is equal to n+sod(n) for n = 472094 and 472103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472123) 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, 12742 + ... + 12778.

2472120 is an apocalyptic number.

472120 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 472120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615600).

472120 is an abundant number, since it is smaller than the sum of its proper divisors (759080).

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

472120 is a wasteful number, since it uses less digits than its factorization.

472120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

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

The square root of 472120 is about 687.1098893190. The cubic root of 472120 is about 77.8665260574.

Adding to 472120 its reverse (21274), we get a palindrome (493394).

The spelling of 472120 in words is "four hundred seventy-two thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 20 22 29 37 40 44 55 58 74 88 110 116 145 148 185 220 232 290 296 319 370 407 440 580 638 740 814 1073 1160 1276 1480 1595 1628 2035 2146 2552 3190 3256 4070 4292 5365 6380 8140 8584 10730 11803 12760 16280 21460 23606 42920 47212 59015 94424 118030 236060 472120