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2007380 = 225293461
BaseRepresentation
bin111101010000101010100
310202222121102
413222011110
51003214010
6111005232
723030264
oct7520524
93688542
102007380
1111511a1
12809818
135538cb
143a37a4
15299ba5
hex1ea154

2007380 has 24 divisors (see below), whose sum is σ = 4362120. Its totient is φ = 775040.

The previous prime is 2007359. The next prime is 2007389. The reversal of 2007380 is 837002.

2007380 = T125 + T126 + ... + T240.

It can be written as a sum of positive squares in 4 ways, for example, as 58564 + 1948816 = 242^2 + 1396^2 .

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

2007380 is a modest number, since divided by 7380 gives 20 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1151 + ... + 2310.

It is an arithmetic number, because the mean of its divisors is an integer number (181755).

22007380 is an apocalyptic number.

2007380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007380 is an abundant number, since it is smaller than the sum of its proper divisors (2354740).

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

2007380 is a wasteful number, since it uses less digits than its factorization.

2007380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2007380 is about 1416.8203838172. The cubic root of 2007380 is about 126.1468850550.

The spelling of 2007380 in words is "two million, seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3461 6922 13844 17305 34610 69220 100369 200738 401476 501845 1003690 2007380