Search a number
-
+
90618150 = 23527212329
BaseRepresentation
bin1010110011010…
…11100100100110
320022111212201210
411121223210212
5141144240100
612554132250
72150145600
oct531534446
9208455653
1090618150
1147173837
1226421086
1315a0a40c
14c06c170
157e4ec50
hex566b926

90618150 has 72 divisors (see below), whose sum is σ = 261445320. Its totient is φ = 20711040.

The previous prime is 90618149. The next prime is 90618197. The reversal of 90618150 is 5181609.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1186 + ... + 13514.

It is an arithmetic number, because the mean of its divisors is an integer number (3631185).

Almost surely, 290618150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90618150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130722660).

90618150 is an abundant number, since it is smaller than the sum of its proper divisors (170827170).

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

90618150 is a wasteful number, since it uses less digits than its factorization.

90618150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12358 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 90618150 is about 9519.3565959050. The cubic root of 90618150 is about 449.1641273446.

Adding to 90618150 its reverse (5181609), we get a palindrome (95799759).

The spelling of 90618150 in words is "ninety million, six hundred eighteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 2450 3675 7350 12329 24658 36987 61645 73974 86303 123290 172606 184935 258909 308225 369870 431515 517818 604121 616450 863030 924675 1208242 1294545 1812363 1849350 2157575 2589090 3020605 3624726 4315150 6041210 6472725 9061815 12945450 15103025 18123630 30206050 45309075 90618150