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3906630 = 234571353
BaseRepresentation
bin1110111001110001000110
321100110220000
432321301012
52000003010
6215422130
745130410
oct16716106
97313800
103906630
112229122
121384946
13a6a220
147399b0
155227c0
hex3b9c46

3906630 has 160 divisors (see below), whose sum is σ = 13172544. Its totient is φ = 808704.

The previous prime is 3906613. The next prime is 3906641. The reversal of 3906630 is 366093.

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

It is a junction number, because it is equal to n+sod(n) for n = 3906594 and 3906603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73684 + ... + 73736.

Almost surely, 23906630 is an apocalyptic number.

3906630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272).

3906630 is an abundant number, since it is smaller than the sum of its proper divisors (9265914).

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

3906630 is a wasteful number, since it uses less digits than its factorization.

3906630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3906630 is about 1976.5196685083. The cubic root of 3906630 is about 157.4952379513.

The spelling of 3906630 in words is "three million, nine hundred six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 53 54 63 65 70 78 81 90 91 105 106 117 126 130 135 159 162 182 189 195 210 234 265 270 273 315 318 351 371 378 390 405 455 477 530 546 567 585 630 689 702 742 795 810 819 910 945 954 1053 1113 1134 1170 1365 1378 1431 1590 1638 1755 1855 1890 2067 2106 2226 2385 2457 2730 2835 2862 3339 3445 3510 3710 4095 4134 4293 4770 4823 4914 5265 5565 5670 6201 6678 6890 7155 7371 8190 8586 9646 10017 10335 10530 11130 12285 12402 14310 14469 14742 16695 18603 20034 20670 21465 24115 24570 28938 30051 31005 33390 36855 37206 42930 43407 48230 50085 55809 60102 62010 72345 73710 86814 93015 100170 111618 130221 144690 150255 186030 217035 260442 279045 300510 390663 434070 558090 651105 781326 1302210 1953315 3906630