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2072520 = 2333519101
BaseRepresentation
bin111111001111111001000
310220021222000
413321333020
51012310040
6112231000
723421222
oct7717710
93807860
102072520
11119612a
1283b460
13577458
143bd412
152ae130
hex1f9fc8

2072520 has 128 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 518400.

The previous prime is 2072491. The next prime is 2072527. The reversal of 2072520 is 252702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2072493 and 2072502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20470 + ... + 20570.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

22072520 is an apocalyptic number.

2072520 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 2072520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2072520 is an abundant number, since it is smaller than the sum of its proper divisors (5271480).

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

2072520 is a wasteful number, since it uses less digits than its factorization.

2072520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2072520 is about 1439.6249511592. The cubic root of 2072520 is about 127.4968857371.

The spelling of 2072520 in words is "two million, seventy-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 101 108 114 120 135 152 171 180 190 202 216 228 270 285 303 342 360 380 404 456 505 513 540 570 606 684 760 808 855 909 1010 1026 1080 1140 1212 1368 1515 1710 1818 1919 2020 2052 2280 2424 2565 2727 3030 3420 3636 3838 4040 4104 4545 5130 5454 5757 6060 6840 7272 7676 9090 9595 10260 10908 11514 12120 13635 15352 17271 18180 19190 20520 21816 23028 27270 28785 34542 36360 38380 46056 51813 54540 57570 69084 76760 86355 103626 109080 115140 138168 172710 207252 230280 259065 345420 414504 518130 690840 1036260 2072520