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45420210 = 23351141373
BaseRepresentation
bin1010110101000…
…0111010110010
310011110120211000
42231100322302
543111421320
64301302430
71061031303
oct255207262
9104416730
1045420210
1123702970
1213264a16
139543984
1460647aa
153ec2c90
hex2b50eb2

45420210 has 128 divisors (see below), whose sum is σ = 135717120. Its totient is φ = 10713600.

The previous prime is 45420187. The next prime is 45420211. The reversal of 45420210 is 1202454.

45420210 = T204 + T205 + ... + T654.

45420210 is a `hidden beast` number, since 454 + 2 + 0 + 210 = 666.

45420210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45420211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121584 + ... + 121956.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 245420210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45420210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67858560).

45420210 is an abundant number, since it is smaller than the sum of its proper divisors (90296910).

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

45420210 is a wasteful number, since it uses less digits than its factorization.

45420210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45420210 is about 6739.4517581180. The cubic root of 45420210 is about 356.7930443740.

Adding to 45420210 its reverse (1202454), we get a palindrome (46622664).

The spelling of 45420210 in words is "forty-five million, four hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 41 45 54 55 66 82 90 99 110 123 135 165 198 205 246 270 297 330 369 373 410 451 495 594 615 738 746 902 990 1107 1119 1230 1353 1485 1845 1865 2214 2238 2255 2706 2970 3357 3690 3730 4059 4103 4510 5535 5595 6714 6765 8118 8206 10071 11070 11190 12177 12309 13530 15293 16785 20142 20295 20515 24354 24618 30586 33570 36927 40590 41030 45879 50355 60885 61545 73854 76465 91758 100710 110781 121770 123090 137637 152930 168223 184635 221562 229395 275274 336446 369270 412911 458790 504669 553905 688185 825822 841115 1009338 1107810 1376370 1514007 1682230 2064555 2523345 3028014 4129110 4542021 5046690 7570035 9084042 15140070 22710105 45420210