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2130037 = 71389263
BaseRepresentation
bin1000001000000001110101
311000012212021
420020001311
51021130122
6113353141
724051010
oct10100165
94005767
102130037
111225368
128687b1
135976a0
143d6377
152c11c7
hex208075

2130037 has 16 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 1660032.

The previous prime is 2130031. The next prime is 2130047. The reversal of 2130037 is 7300312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2130037 is a prime.

2130037 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2130037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7968 + ... + 8230.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

22130037 is an apocalyptic number.

It is an amenable number.

2130037 is a deficient number, since it is larger than the sum of its proper divisors (531083).

2130037 is a wasteful number, since it uses less digits than its factorization.

2130037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 2130037 is about 1459.4646278687. The cubic root of 2130037 is about 128.6655801257.

Adding to 2130037 its reverse (7300312), we get a palindrome (9430349).

The spelling of 2130037 in words is "two million, one hundred thirty thousand, thirty-seven".

Divisors: 1 7 13 89 91 263 623 1157 1841 3419 8099 23407 23933 163849 304291 2130037