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3970540 = 225779359
BaseRepresentation
bin1111001001010111101100
321110201120001
433021113230
52004024130
6221034044
745514630
oct17112754
97421501
103970540
112272142
1213b5924
13a90342
14754dc0
155366ca
hex3c95ec

3970540 has 48 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1340352.

The previous prime is 3970531. The next prime is 3970567. The reversal of 3970540 is 450793.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3970499 and 3970508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10881 + ... + 11239.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 23970540 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 3970540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3970540 is an abundant number, since it is smaller than the sum of its proper divisors (5706260).

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

3970540 is a wasteful number, since it uses less digits than its factorization.

3970540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 3970540 is about 1992.6213890250. The cubic root of 3970540 is about 158.3494375740.

The spelling of 3970540 in words is "three million, nine hundred seventy thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 359 395 553 718 790 1106 1436 1580 1795 2212 2513 2765 3590 5026 5530 7180 10052 11060 12565 25130 28361 50260 56722 113444 141805 198527 283610 397054 567220 794108 992635 1985270 3970540