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7020120 = 2335193079
BaseRepresentation
bin11010110001111001011000
3111012122210110
4122301321120
53244120440
6410244320
7113445552
oct32617130
914178713
107020120
113a65358
1224266a0
1315ba423
14d0a4d2
1593a080
hex6b1e58

7020120 has 64 divisors (see below), whose sum is σ = 22176000. Its totient is φ = 1772928.

The previous prime is 7020119. The next prime is 7020131. The reversal of 7020120 is 210207.

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

It is a junction number, because it is equal to n+sod(n) for n = 7020096 and 7020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741 + ... + 3819.

It is an arithmetic number, because the mean of its divisors is an integer number (346500).

Almost surely, 27020120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088000).

7020120 is an abundant number, since it is smaller than the sum of its proper divisors (15155880).

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

7020120 is a wasteful number, since it uses less digits than its factorization.

7020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 7020120 is about 2649.5509053423. The cubic root of 7020120 is about 191.4762199860.

Adding to 7020120 its reverse (210207), we get a palindrome (7230327).

It can be divided in two parts, 7020 and 120, that added together give a triangular number (7140 = T119).

The spelling of 7020120 in words is "seven million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 3079 6158 9237 12316 15395 18474 24632 30790 36948 46185 58501 61580 73896 92370 117002 123160 175503 184740 234004 292505 351006 369480 468008 585010 702012 877515 1170020 1404024 1755030 2340040 3510060 7020120