Search a number
-
+
210123018 = 23373891429
BaseRepresentation
bin11001000011000…
…11100100001010
3112122101100121000
430201203210022
5412242414033
632503355430
75131005360
oct1441434412
9478340530
10210123018
11a8677596
125a452b76
13346bcb61
141dc99630
15136a8a13
hexc86390a

210123018 has 64 divisors (see below), whose sum is σ = 535392000. Its totient is φ = 59838912.

The previous prime is 210123007. The next prime is 210123019. The reversal of 210123018 is 810321012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (210123019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146328 + ... + 147756.

It is an arithmetic number, because the mean of its divisors is an integer number (8365500).

Almost surely, 2210123018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210123018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267696000).

210123018 is an abundant number, since it is smaller than the sum of its proper divisors (325268982).

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

210123018 is a wasteful number, since it uses less digits than its factorization.

210123018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 210123018 is about 14495.6206490098. The cubic root of 210123018 is about 594.5082376027.

The spelling of 210123018 in words is "two hundred ten million, one hundred twenty-three thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 389 778 1167 1429 2334 2723 2858 3501 4287 5446 7002 8169 8574 10003 10503 12861 16338 20006 21006 24507 25722 30009 38583 49014 60018 73521 77166 90027 147042 180054 270081 540162 555881 1111762 1667643 3335286 3891167 5002929 7782334 10005858 11673501 15008787 23347002 30017574 35020503 70041006 105061509 210123018