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3117620 = 2251137383
BaseRepresentation
bin1011111001001000110100
312212101120102
423321020310
51244230440
6150453232
735333162
oct13711064
95771512
103117620
11183a350
121064218
1385205c
145b2232
15418b15
hex2f9234

3117620 has 48 divisors (see below), whose sum is σ = 7354368. Its totient is φ = 1100160.

The previous prime is 3117601. The next prime is 3117623. The reversal of 3117620 is 267113.

3117620 = 1432 + 1442 + ... + 2302.

It is a happy number.

3117620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3117592 and 3117601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7949 + ... + 8331.

It is an arithmetic number, because the mean of its divisors is an integer number (153216).

Almost surely, 23117620 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 3117620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184).

3117620 is an abundant number, since it is smaller than the sum of its proper divisors (4236748).

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

3117620 is a wasteful number, since it uses less digits than its factorization.

3117620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 3117620 is about 1765.6783399023. The cubic root of 3117620 is about 146.0857068551.

The spelling of 3117620 in words is "three million, one hundred seventeen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 383 407 740 766 814 1532 1628 1915 2035 3830 4070 4213 7660 8140 8426 14171 16852 21065 28342 42130 56684 70855 84260 141710 155881 283420 311762 623524 779405 1558810 3117620