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2032940 = 2257131117
BaseRepresentation
bin111110000010100101100
310211021200002
413300110230
51010023230
6111323432
723164640
oct7602454
93737602
102032940
111169418
12820578
13562430
143acc20
152a2545
hex1f052c

2032940 has 48 divisors (see below), whose sum is σ = 5259072. Its totient is φ = 642816.

The previous prime is 2032939. The next prime is 2032951. The reversal of 2032940 is 492302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1262 + ... + 2378.

It is an arithmetic number, because the mean of its divisors is an integer number (109564).

22032940 is an apocalyptic number.

2032940 is a gapful number since it is divisible by the number (20) 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 2032940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629536).

2032940 is an abundant number, since it is smaller than the sum of its proper divisors (3226132).

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

2032940 is a wasteful number, since it uses less digits than its factorization.

2032940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2032940 is about 1425.8120493249. The cubic root of 2032940 is about 126.6800386006.

The spelling of 2032940 in words is "two million, thirty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1117 1820 2234 4468 5585 7819 11170 14521 15638 22340 29042 31276 39095 58084 72605 78190 101647 145210 156380 203294 290420 406588 508235 1016470 2032940