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2072040 = 233531557
BaseRepresentation
bin111111001110111101000
310220021022020
413321313220
51012301130
6112224440
723416635
oct7716750
93807266
102072040
111195833
1283b120
13577179
143bd18c
152ade10
hex1f9de8

2072040 has 64 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 533760.

The previous prime is 2072039. The next prime is 2072053. The reversal of 2072040 is 402702.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 3442 + ... + 3998.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

22072040 is an apocalyptic number.

2072040 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 2072040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2072040 is an abundant number, since it is smaller than the sum of its proper divisors (4356120).

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

2072040 is a wasteful number, since it uses less digits than its factorization.

2072040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2072040 is about 1439.4582314190. The cubic root of 2072040 is about 127.4870421280.

Adding to 2072040 its reverse (402702), we get a palindrome (2474742).

The spelling of 2072040 in words is "two million, seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 557 620 744 930 1114 1240 1671 1860 2228 2785 3342 3720 4456 5570 6684 8355 11140 13368 16710 17267 22280 33420 34534 51801 66840 69068 86335 103602 138136 172670 207204 259005 345340 414408 518010 690680 1036020 2072040