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2121957 = 34172367
BaseRepresentation
bin1000000110000011100101
310222210210000
420012003211
51020400312
6113251513
724015315
oct10060345
93883700
102121957
11121a292
12863b99
13593ac6
143d3445
152bdadc
hex2060e5

2121957 has 40 divisors (see below), whose sum is σ = 3554496. Its totient is φ = 1254528.

The previous prime is 2121943. The next prime is 2121967. The reversal of 2121957 is 7591212.

It is not a de Polignac number, because 2121957 - 24 = 2121941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2121957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121907) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31638 + ... + 31704.

22121957 is an apocalyptic number.

2121957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2121957 is a deficient number, since it is larger than the sum of its proper divisors (1432539).

2121957 is a wasteful number, since it uses less digits than its factorization.

2121957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 2121957 is about 1456.6938593953. The cubic root of 2121957 is about 128.5026822960.

The spelling of 2121957 in words is "two million, one hundred twenty-one thousand, nine hundred fifty-seven".

Divisors: 1 3 9 17 23 27 51 67 69 81 153 201 207 391 459 603 621 1139 1173 1377 1541 1809 1863 3417 3519 4623 5427 10251 10557 13869 26197 30753 31671 41607 78591 92259 124821 235773 707319 2121957