Search a number
-
+
661350090 = 23541717573
BaseRepresentation
bin100111011010110…
…110011011001010
31201002110001202210
4213122312123022
52323301200330
6145343005550
722250245242
oct4732663312
91632401683
10661350090
1130a351125
121655998b6
13a702921b
1463b96b22
153d0da8b0
hex276b66ca

661350090 has 64 divisors (see below), whose sum is σ = 1649071872. Its totient is φ = 169612800.

The previous prime is 661350083. The next prime is 661350103. The reversal of 661350090 is 90053166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83544 + ... + 91116.

It is an arithmetic number, because the mean of its divisors is an integer number (25766748).

Almost surely, 2661350090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661350090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824535936).

661350090 is an abundant number, since it is smaller than the sum of its proper divisors (987721782).

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

661350090 is a wasteful number, since it uses less digits than its factorization.

661350090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 661350090 is about 25716.7278245114. The cubic root of 661350090 is about 871.2520353287.

The spelling of 661350090 in words is "six hundred sixty-one million, three hundred fifty thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 41 71 82 123 142 205 213 246 355 410 426 615 710 1065 1230 2130 2911 5822 7573 8733 14555 15146 17466 22719 29110 37865 43665 45438 75730 87330 113595 227190 310493 537683 620986 931479 1075366 1552465 1613049 1862958 2688415 3104930 3226098 4657395 5376830 8065245 9314790 16130490 22045003 44090006 66135009 110225015 132270018 220450030 330675045 661350090