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2121930 = 233529271
BaseRepresentation
bin1000000110000011001010
310222210202000
420012003022
51020400210
6113251430
724015246
oct10060312
93883660
102121930
11121a268
12863b76
13593aa5
143d3426
152bdac0
hex2060ca

2121930 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 544320.

The previous prime is 2121907. The next prime is 2121941. The reversal of 2121930 is 391212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7695 + ... + 7965.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

22121930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2121930 is an abundant number, since it is smaller than the sum of its proper divisors (3753270).

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

2121930 is a wasteful number, since it uses less digits than its factorization.

2121930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2121930 is about 1456.6845918043. The cubic root of 2121930 is about 128.5021372666.

The spelling of 2121930 in words is "two million, one hundred twenty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 271 290 435 522 542 783 813 870 1305 1355 1566 1626 2439 2610 2710 3915 4065 4878 7317 7830 7859 8130 12195 14634 15718 23577 24390 36585 39295 47154 70731 73170 78590 117885 141462 212193 235770 353655 424386 707310 1060965 2121930