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2131404 = 2231167241
BaseRepresentation
bin1000001000010111001100
311000021201220
420020113030
51021201104
6113403340
724055002
oct10102714
94007656
102131404
1112263a0
12869550
135981b2
143d6a72
152c17d9
hex2085cc

2131404 has 48 divisors (see below), whose sum is σ = 5529216. Its totient is φ = 633600.

The previous prime is 2131399. The next prime is 2131417. The reversal of 2131404 is 4041312.

2131404 = T289 + T290 + ... + T332.

It is a super-2 number, since 2×21314042 = 9085766022432, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8724 + ... + 8964.

It is an arithmetic number, because the mean of its divisors is an integer number (115192).

22131404 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 2131404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764608).

2131404 is an abundant number, since it is smaller than the sum of its proper divisors (3397812).

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

2131404 is a wasteful number, since it uses less digits than its factorization.

2131404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2131404 is about 1459.9328751693. The cubic root of 2131404 is about 128.6930989333.

Adding to 2131404 its reverse (4041312), we get a palindrome (6172716).

The spelling of 2131404 in words is "two million, one hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 241 268 402 482 723 737 804 964 1446 1474 2211 2651 2892 2948 4422 5302 7953 8844 10604 15906 16147 31812 32294 48441 64588 96882 177617 193764 355234 532851 710468 1065702 2131404