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62116020 = 22325345089
BaseRepresentation
bin1110110011110…
…1000010110100
311022212211011100
43230331002310
5111400203040
610055210100
71352656161
oct354750264
9138784140
1062116020
113207675a
1218976930
13cb3b155
14836d068
1556beb30
hex3b3d0b4

62116020 has 36 divisors (see below), whose sum is σ = 188419140. Its totient is φ = 16564224.

The previous prime is 62116013. The next prime is 62116027. The reversal of 62116020 is 2061126.

It is a happy number.

62116020 is a `hidden beast` number, since 62 + 1 + 1 + 602 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (62116013) and next prime (62116027).

It can be written as a sum of positive squares in 2 ways, for example, as 18714276 + 43401744 = 4326^2 + 6588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 62115984 and 62116002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62116027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172365 + ... + 172724.

It is an arithmetic number, because the mean of its divisors is an integer number (5233865).

Almost surely, 262116020 is an apocalyptic number.

62116020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

62116020 is an abundant number, since it is smaller than the sum of its proper divisors (126303120).

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

62116020 is a wasteful number, since it uses less digits than its factorization.

62116020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345104 (or 345099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 62116020 is about 7881.3717080214. The cubic root of 62116020 is about 396.0358859429.

Adding to 62116020 its reverse (2061126), we get a palindrome (64177146).

It can be divided in two parts, 621 and 16020, that added together give a square (16641 = 1292).

The spelling of 62116020 in words is "sixty-two million, one hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 345089 690178 1035267 1380356 1725445 2070534 3105801 3450890 4141068 5176335 6211602 6901780 10352670 12423204 15529005 20705340 31058010 62116020