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1413120 = 2123523
BaseRepresentation
bin101011001000000000000
32122210102210
411121000000
5330204440
650142120
715003612
oct5310000
92583383
101413120
11885775
12581940
133a6287
1428adb2
151cda80
hex159000

1413120 has 104 divisors (see below), whose sum is σ = 4718016. Its totient is φ = 360448.

The previous prime is 1413107. The next prime is 1413131. The reversal of 1413120 is 213141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 1413096 and 1413105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61429 + ... + 61451.

21413120 is an apocalyptic number.

1413120 is a gapful number since it is divisible by the number (10) 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 1413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359008).

1413120 is an abundant number, since it is smaller than the sum of its proper divisors (3304896).

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

1413120 is an equidigital number, since it uses as much as digits as its factorization.

1413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1413120 is about 1188.7472397444. The cubic root of 1413120 is about 112.2172653360.

Adding to 1413120 its reverse (213141), we get a palindrome (1626261).

The spelling of 1413120 in words is "one million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 512 552 640 690 736 768 920 960 1024 1104 1280 1380 1472 1536 1840 1920 2048 2208 2560 2760 2944 3072 3680 3840 4096 4416 5120 5520 5888 6144 7360 7680 8832 10240 11040 11776 12288 14720 15360 17664 20480 22080 23552 29440 30720 35328 44160 47104 58880 61440 70656 88320 94208 117760 141312 176640 235520 282624 353280 471040 706560 1413120