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2661372 = 2232759179
BaseRepresentation
bin1010001001101111111100
312000012201100
422021233330
51140130442
6133013100
731423050
oct12115774
95005640
102661372
11155858a
12a84190
1372249c
144d3c60
1537884c
hex289bfc

2661372 has 72 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 743328.

The previous prime is 2661371. The next prime is 2661391. The reversal of 2661372 is 2731662.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661371) 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 23 ways as a sum of consecutive naturals, for example, 14779 + ... + 14957.

It is an arithmetic number, because the mean of its divisors is an integer number (109200).

22661372 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 2661372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2661372 is an abundant number, since it is smaller than the sum of its proper divisors (5201028).

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

2661372 is a wasteful number, since it uses less digits than its factorization.

2661372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 250 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2661372 is about 1631.3712023939. The cubic root of 2661372 is about 138.5804161407.

The spelling of 2661372 in words is "two million, six hundred sixty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 179 236 252 354 358 413 531 537 708 716 826 1062 1074 1239 1253 1611 1652 2124 2148 2478 2506 3222 3717 3759 4956 5012 6444 7434 7518 10561 11277 14868 15036 21122 22554 31683 42244 45108 63366 73927 95049 126732 147854 190098 221781 295708 380196 443562 665343 887124 1330686 2661372