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3121020 = 2232572477
BaseRepresentation
bin1011111001111101111100
312212120020100
423321331330
51244333040
6150521100
735346120
oct13717574
95776210
103121020
111841961
121066190
13853776
145b3580
15419b30
hex2f9f7c

3121020 has 72 divisors (see below), whose sum is σ = 10823904. Its totient is φ = 713088.

The previous prime is 3121007. The next prime is 3121033. The reversal of 3121020 is 201213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3121007) and next prime (3121033).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3120993 and 3121011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22 + ... + 2498.

It is an arithmetic number, because the mean of its divisors is an integer number (150332).

Almost surely, 23121020 is an apocalyptic number.

3121020 is a gapful number since it is divisible by the number (30) 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 3121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411952).

3121020 is an abundant number, since it is smaller than the sum of its proper divisors (7702884).

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

3121020 is a wasteful number, since it uses less digits than its factorization.

3121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3121020 is about 1766.6408803150. The cubic root of 3121020 is about 146.1387933926.

Adding to 3121020 its reverse (201213), we get a palindrome (3322233).

The spelling of 3121020 in words is "three million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2477 4954 7431 9908 12385 14862 17339 22293 24770 29724 34678 37155 44586 49540 52017 69356 74310 86695 89172 104034 111465 148620 156051 173390 208068 222930 260085 312102 346780 445860 520170 624204 780255 1040340 1560510 3121020