[go: up one dir, main page]

Search a number
-
+
90119000 = 2353227397
BaseRepresentation
bin1010101111100…
…01101101011000
320021120112000202
411113301231120
5141032302000
612535321332
72142666416
oct527615530
9207515022
1090119000
1146962814
1226220248
131589416a
14bd7c2b6
157da1dd5
hex55f1b58

90119000 has 64 divisors (see below), whose sum is σ = 212340960. Its totient is φ = 35798400.

The previous prime is 90118981. The next prime is 90119009. The reversal of 90119000 is 91109.

It is a super-2 number, since 2×901190002 = 16242868322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90119009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226802 + ... + 227198.

Almost surely, 290119000 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 90119000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106170480).

90119000 is an abundant number, since it is smaller than the sum of its proper divisors (122221960).

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

90119000 is a wasteful number, since it uses less digits than its factorization.

90119000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 90119000 is about 9493.1027593722. The cubic root of 90119000 is about 448.3379014320.

The spelling of 90119000 in words is "ninety million, one hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 227 250 397 454 500 794 908 1000 1135 1588 1816 1985 2270 3176 3970 4540 5675 7940 9080 9925 11350 15880 19850 22700 28375 39700 45400 49625 56750 79400 90119 99250 113500 180238 198500 227000 360476 397000 450595 720952 901190 1802380 2252975 3604760 4505950 9011900 11264875 18023800 22529750 45059500 90119000