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3970720 = 255132383
BaseRepresentation
bin1111001001011010100000
321110201210201
433021122200
52004030340
6221034544
745515305
oct17113240
97421721
103970720
112272296
1213b5a54
13a90450
147550ac
1553679a
hex3c96a0

3970720 has 96 divisors (see below), whose sum is σ = 10668672. Its totient is φ = 1385472.

The previous prime is 3970711. The next prime is 3970723. The reversal of 3970720 is 270793.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3970723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47799 + ... + 47881.

It is an arithmetic number, because the mean of its divisors is an integer number (111132).

Almost surely, 23970720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334336).

3970720 is an abundant number, since it is smaller than the sum of its proper divisors (6697952).

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

3970720 is a wasteful number, since it uses less digits than its factorization.

3970720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 3970720 is about 1992.6665551466. Note that the first 3 decimals coincide. The cubic root of 3970720 is about 158.3518304029.

The spelling of 3970720 in words is "three million, nine hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 83 92 104 115 130 160 166 184 208 230 260 299 332 368 415 416 460 520 598 664 736 830 920 1040 1079 1196 1328 1495 1660 1840 1909 2080 2158 2392 2656 2990 3320 3680 3818 4316 4784 5395 5980 6640 7636 8632 9545 9568 10790 11960 13280 15272 17264 19090 21580 23920 24817 30544 34528 38180 43160 47840 49634 61088 76360 86320 99268 124085 152720 172640 198536 248170 305440 397072 496340 794144 992680 1985360 3970720