Search a number
-
+
36397620 = 2233579629
BaseRepresentation
bin1000101011011…
…0001000110100
32112111012011000
42022312020310
533304210440
63340043300
7621242340
oct212661064
975435130
1036397620
1119600086
1210233530
137704c6c
144b96620
1532de730
hex22b6234

36397620 has 96 divisors (see below), whose sum is σ = 129427200. Its totient is φ = 8318592.

The previous prime is 36397619. The next prime is 36397633. The reversal of 36397620 is 2679363.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035 + ... + 8594.

It is an arithmetic number, because the mean of its divisors is an integer number (1348200).

Almost surely, 236397620 is an apocalyptic number.

36397620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36397620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64713600).

36397620 is an abundant number, since it is smaller than the sum of its proper divisors (93029580).

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

36397620 is a wasteful number, since it uses less digits than its factorization.

36397620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 36397620 is about 6033.0440077957. The cubic root of 36397620 is about 331.4039360475.

The spelling of 36397620 in words is "thirty-six million, three hundred ninety-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 9629 19258 28887 38516 48145 57774 67403 86661 96290 115548 134806 144435 173322 192580 202209 259983 269612 288870 337015 346644 404418 433305 519966 577740 606627 674030 808836 866610 1011045 1039932 1213254 1299915 1348060 1733220 1819881 2022090 2426508 2599830 3033135 3639762 4044180 5199660 6066270 7279524 9099405 12132540 18198810 36397620