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4206930 = 2357132367
BaseRepresentation
bin10000000011000101010010
321220201211020
4100003011102
52034110210
6230100310
750521050
oct20030522
97821736
104206930
112413802
1214aa696
13b43b10
147b71d0
15581770
hex403152

4206930 has 128 divisors (see below), whose sum is σ = 13160448. Its totient is φ = 836352.

The previous prime is 4206929. The next prime is 4206931. The reversal of 4206930 is 396024.

It is an interprime number because it is at equal distance from previous prime (4206929) and next prime (4206931).

4206930 is a modest number, since divided by 6930 gives 420 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 4206930.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4206931) 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 63 ways as a sum of consecutive naturals, for example, 62757 + ... + 62823.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

Almost surely, 24206930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4206930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580224).

4206930 is an abundant number, since it is smaller than the sum of its proper divisors (8953518).

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

4206930 is a wasteful number, since it uses less digits than its factorization.

4206930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 4206930 is about 2051.0802032100. The cubic root of 4206930 is about 161.4315544165.

The spelling of 4206930 in words is "four million, two hundred six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 23 26 30 35 39 42 46 65 67 69 70 78 91 105 115 130 134 138 161 182 195 201 210 230 273 299 322 335 345 390 402 455 469 483 546 598 670 690 805 871 897 910 938 966 1005 1365 1407 1495 1541 1610 1742 1794 2010 2093 2345 2415 2613 2730 2814 2990 3082 4186 4355 4485 4623 4690 4830 5226 6097 6279 7035 7705 8710 8970 9246 10465 10787 12194 12558 13065 14070 15410 18291 20033 20930 21574 23115 26130 30485 31395 32361 36582 40066 46230 53935 60099 60970 62790 64722 91455 100165 107870 120198 140231 161805 182910 200330 280462 300495 323610 420693 600990 701155 841386 1402310 2103465 4206930