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3679020 = 22355757
BaseRepresentation
bin1110000010001100101100
320220220200000
432002030230
51420212040
6210504300
743162002
oct16021454
96826600
103679020
112093114
121295090
139ba747
146baa72
154ca130
hex38232c

3679020 has 72 divisors (see below), whose sum is σ = 11588304. Its totient is φ = 979776.

The previous prime is 3679009. The next prime is 3679031. The reversal of 3679020 is 209763.

It is an interprime number because it is at equal distance from previous prime (3679009) and next prime (3679031).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4482 + ... + 5238.

Almost surely, 23679020 is an apocalyptic number.

3679020 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 3679020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794152).

3679020 is an abundant number, since it is smaller than the sum of its proper divisors (7909284).

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

3679020 is a wasteful number, since it uses less digits than its factorization.

3679020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3679020 is about 1918.0771621601. The cubic root of 3679020 is about 154.3751465629.

The spelling of 3679020 in words is "three million, six hundred seventy-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 757 810 972 1215 1514 1620 2271 2430 3028 3785 4542 4860 6813 7570 9084 11355 13626 15140 20439 22710 27252 34065 40878 45420 61317 68130 81756 102195 122634 136260 183951 204390 245268 306585 367902 408780 613170 735804 919755 1226340 1839510 3679020