Search a number
-
+
3970620 = 223551943
BaseRepresentation
bin1111001001011000111100
321110201200000
433021120330
52004024440
6221034300
745515103
oct17113074
97421600
103970620
112272205
1213b5990
13a903a4
1475503a
15536730
hex3c963c

3970620 has 144 divisors (see below), whose sum is σ = 13453440. Its totient is φ = 979776.

The previous prime is 3970591. The next prime is 3970633. The reversal of 3970620 is 260793.

3970620 is a `hidden beast` number, since 39 + 7 + 0 + 620 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92319 + ... + 92361.

Almost surely, 23970620 is an apocalyptic number.

3970620 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 3970620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726720).

3970620 is an abundant number, since it is smaller than the sum of its proper divisors (9482820).

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

3970620 is a wasteful number, since it uses less digits than its factorization.

3970620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

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

The square root of 3970620 is about 1992.6414629832. The cubic root of 3970620 is about 158.3505010625.

The spelling of 3970620 in words is "three million, nine hundred seventy thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 43 45 54 57 60 76 81 86 90 95 108 114 129 135 162 171 172 180 190 215 228 243 258 270 285 324 342 380 387 405 430 486 513 516 540 570 645 684 774 810 817 855 860 972 1026 1140 1161 1215 1290 1539 1548 1620 1634 1710 1935 2052 2322 2430 2451 2565 2580 3078 3268 3420 3483 3870 4085 4617 4644 4860 4902 5130 5805 6156 6966 7353 7695 7740 8170 9234 9804 10260 10449 11610 12255 13932 14706 15390 16340 17415 18468 20898 22059 23085 23220 24510 29412 30780 34830 36765 41796 44118 46170 49020 52245 66177 69660 73530 88236 92340 104490 110295 132354 147060 198531 208980 220590 264708 330885 397062 441180 661770 794124 992655 1323540 1985310 3970620