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474120 = 23335439
BaseRepresentation
bin1110011110000001000
3220002101000
41303300020
5110132440
614055000
74013163
oct1636010
9802330
10474120
112a4239
121aa460
13137a5a
14c4ada
1595730
hex73c08

474120 has 64 divisors (see below), whose sum is σ = 1584000. Its totient is φ = 126144.

The previous prime is 474119. The next prime is 474127. The reversal of 474120 is 21474.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 474093 and 474102.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 474120.

It is not an unprimeable number, because it can be changed into a prime (474127) 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, 861 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (24750).

2474120 is an apocalyptic number.

474120 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 474120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792000).

474120 is an abundant number, since it is smaller than the sum of its proper divisors (1109880).

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

474120 is a wasteful number, since it uses less digits than its factorization.

474120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 474120 is about 688.5637225413. The cubic root of 474120 is about 77.9763241752.

Adding to 474120 its reverse (21474), we get a palindrome (495594).

It can be divided in two parts, 4741 and 20, that added together give a square (4761 = 692).

The spelling of 474120 in words is "four hundred seventy-four thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 439 540 878 1080 1317 1756 2195 2634 3512 3951 4390 5268 6585 7902 8780 10536 11853 13170 15804 17560 19755 23706 26340 31608 39510 47412 52680 59265 79020 94824 118530 158040 237060 474120