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313020 = 223253747
BaseRepresentation
bin1001100011010111100
3120220101100
41030122330
540004040
610413100
72442411
oct1143274
9526340
10313020
111a41a4
12131190
13ac626
1482108
1562b30
hex4c6bc

313020 has 72 divisors (see below), whose sum is σ = 995904. Its totient is φ = 79488.

The previous prime is 313009. The next prime is 313031. The reversal of 313020 is 20313.

Adding to 313020 its reverse (20313), we get a palindrome (333333).

It can be divided in two parts, 3 and 13020, that multiplied together give a triangular number (39060 = T279).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313009) and next prime (313031).

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 = 312993 and 313011.

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, 6637 + ... + 6683.

It is an arithmetic number, because the mean of its divisors is an integer number (13832).

2313020 is an apocalyptic number.

313020 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 313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497952).

313020 is an abundant number, since it is smaller than the sum of its proper divisors (682884).

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

313020 is a wasteful number, since it uses less digits than its factorization.

313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 313020 is about 559.4819031926. The cubic root of 313020 is about 67.8980594808.

The spelling of 313020 in words is "three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 47 60 74 90 94 111 141 148 180 185 188 222 235 282 333 370 423 444 470 555 564 666 705 740 846 940 1110 1332 1410 1665 1692 1739 2115 2220 2820 3330 3478 4230 5217 6660 6956 8460 8695 10434 15651 17390 20868 26085 31302 34780 52170 62604 78255 104340 156510 313020