Search a number
-
+
942138900 = 223252611312
BaseRepresentation
bin111000001001111…
…110011000010100
32102122210121121100
4320021332120110
53412141421100
6233253150100
732230022433
oct7011763024
92378717540
10942138900
114438a399a
1222362b330
1312025b951
148d1a911a
1557aa2400
hex3827e614

942138900 has 162 divisors, whose sum is σ = 3024580286. Its totient is φ = 245232000.

The previous prime is 942138853. The next prime is 942138917. The reversal of 942138900 is 9831249.

It can be written as a sum of positive squares in 3 ways, for example, as 2471184 + 939667716 = 1572^2 + 30654^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7191835 + ... + 7191965.

Almost surely, 2942138900 is an apocalyptic number.

942138900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 942138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512290143).

942138900 is an abundant number, since it is smaller than the sum of its proper divisors (2082441386).

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

942138900 is a wasteful number, since it uses less digits than its factorization.

942138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 942138900 is about 30694.2812263132. The cubic root of 942138900 is about 980.3285376336.

The spelling of 942138900 in words is "nine hundred forty-two million, one hundred thirty-eight thousand, nine hundred".