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3972220 = 2257171669
BaseRepresentation
bin1111001001110001111100
321110210212021
433021301330
52004102340
6221045524
745522550
oct17116174
97423767
103972220
11227342a
1213b68a4
13a91035
14755860
15536e4a
hex3c9c7c

3972220 has 48 divisors (see below), whose sum is σ = 10100160. Its totient is φ = 1281024.

The previous prime is 3972193. The next prime is 3972223. The reversal of 3972220 is 222793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972223) by changing a digit.

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, 1546 + ... + 3214.

It is an arithmetic number, because the mean of its divisors is an integer number (210420).

Almost surely, 23972220 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 3972220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050080).

3972220 is an abundant number, since it is smaller than the sum of its proper divisors (6127940).

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

3972220 is a wasteful number, since it uses less digits than its factorization.

3972220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 3972220 is about 1993.0428996888. The cubic root of 3972220 is about 158.3717678317.

The spelling of 3972220 in words is "three million, nine hundred seventy-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 1669 2380 3338 6676 8345 11683 16690 23366 28373 33380 46732 56746 58415 113492 116830 141865 198611 233660 283730 397222 567460 794444 993055 1986110 3972220