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2130072 = 233731409
BaseRepresentation
bin1000001000000010011000
311000012220120
420020002120
51021130242
6113353240
724051060
oct10100230
94005816
102130072
11122539a
12868820
135976c9
143d63a0
152c11ec
hex208098

2130072 has 64 divisors (see below), whose sum is σ = 6297600. Its totient is φ = 587520.

The previous prime is 2130061. The next prime is 2130101. The reversal of 2130072 is 2700312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5004 + ... + 5412.

It is an arithmetic number, because the mean of its divisors is an integer number (98400).

22130072 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 2130072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148800).

2130072 is an abundant number, since it is smaller than the sum of its proper divisors (4167528).

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

2130072 is a wasteful number, since it uses less digits than its factorization.

2130072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 2130072 is about 1459.4766185177. The cubic root of 2130072 is about 128.6662848507. Note that the first 3 decimals are identical.

Adding to 2130072 its reverse (2700312), we get a palindrome (4830384).

The spelling of 2130072 in words is "two million, one hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 409 434 651 744 818 868 1227 1302 1636 1736 2454 2604 2863 3272 4908 5208 5726 8589 9816 11452 12679 17178 22904 25358 34356 38037 50716 68712 76074 88753 101432 152148 177506 266259 304296 355012 532518 710024 1065036 2130072