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36420930 = 23257134447
BaseRepresentation
bin1000101011101…
…1110101000010
32112112101010100
42022323311002
533310432210
63340343230
7621400320
oct212736502
975471110
1036420930
1119616647
1210244b16
137712760
144ba0d10
1532e65c0
hex22bbd42

36420930 has 96 divisors (see below), whose sum is σ = 116573184. Its totient is φ = 7682688.

The previous prime is 36420841. The next prime is 36420949. The reversal of 36420930 is 3902463.

36420930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36420894 and 36420903.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5967 + ... + 10413.

It is an arithmetic number, because the mean of its divisors is an integer number (1214304).

Almost surely, 236420930 is an apocalyptic number.

36420930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36420930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58286592).

36420930 is an abundant number, since it is smaller than the sum of its proper divisors (80152254).

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

36420930 is a wasteful number, since it uses less digits than its factorization.

36420930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36420930 is about 6034.9755591883. The cubic root of 36420930 is about 331.4746675700.

The spelling of 36420930 in words is "thirty-six million, four hundred twenty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 4447 8190 8894 13341 22235 26682 31129 40023 44470 57811 62258 66705 80046 93387 115622 133410 155645 173433 186774 200115 280161 289055 311290 346866 400230 404677 466935 520299 560322 578110 809354 867165 933870 1040598 1214031 1400805 1734330 2023385 2428062 2601495 2801610 3642093 4046770 5202990 6070155 7284186 12140310 18210465 36420930