Search a number
-
+
90011670 = 2357716037
BaseRepresentation
bin1010101110101…
…11100000010110
320021101001210120
411113113200112
5141020333140
612533132410
72142041460
oct527274026
9207331716
1090011670
114689a111
122618a106
1315857358
14bd51130
157d801d0
hex55d7816

90011670 has 64 divisors (see below), whose sum is σ = 250407936. Its totient is φ = 20280960.

The previous prime is 90011659. The next prime is 90011671. The reversal of 90011670 is 7611009.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90011670.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90011671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11892 + ... + 17928.

It is an arithmetic number, because the mean of its divisors is an integer number (3912624).

Almost surely, 290011670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90011670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125203968).

90011670 is an abundant number, since it is smaller than the sum of its proper divisors (160396266).

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

90011670 is a wasteful number, since it uses less digits than its factorization.

90011670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125.

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 90011670 is about 9487.4480235730. The cubic root of 90011670 is about 448.1598434458.

Adding to 90011670 its reverse (7611009), we get a palindrome (97622679).

The spelling of 90011670 in words is "ninety million, eleven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 994 1065 1491 2130 2485 2982 4970 6037 7455 12074 14910 18111 30185 36222 42259 60370 84518 90555 126777 181110 211295 253554 422590 428627 633885 857254 1267770 1285881 2143135 2571762 3000389 4286270 6000778 6429405 9001167 12858810 15001945 18002334 30003890 45005835 90011670