Search a number
-
+
36216440 = 23513257271
BaseRepresentation
bin1000101000100…
…1111001111000
32112010222121122
42022021321320
533232411230
63332124412
7616556201
oct212117170
975128548
1036216440
1119496a47
1210166708
137670660
144b4a5a8
1532a5be5
hex2289e78

36216440 has 64 divisors (see below), whose sum is σ = 88421760. Its totient is φ = 13271040.

The previous prime is 36216373. The next prime is 36216457. The reversal of 36216440 is 4461263.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133505 + ... + 133775.

It is an arithmetic number, because the mean of its divisors is an integer number (1381590).

Almost surely, 236216440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36216440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44210880).

36216440 is an abundant number, since it is smaller than the sum of its proper divisors (52205320).

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

36216440 is a wasteful number, since it uses less digits than its factorization.

36216440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 36216440 is about 6018.0096377457. The cubic root of 36216440 is about 330.8531338234.

The spelling of 36216440 in words is "thirty-six million, two hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 257 260 271 514 520 542 1028 1084 1285 1355 2056 2168 2570 2710 3341 3523 5140 5420 6682 7046 10280 10840 13364 14092 16705 17615 26728 28184 33410 35230 66820 69647 70460 133640 139294 140920 278588 348235 557176 696470 905411 1392940 1810822 2785880 3621644 4527055 7243288 9054110 18108220 36216440