Search a number
-
+
141167952 = 24323372909
BaseRepresentation
bin10000110101000…
…00110101010000
3100211122002000200
420122200311100
5242114333302
622001415200
73332623242
oct1032406520
9324562020
10141167952
117275a632
123b33a500
1323328b43
1414a6a092
15c5d781c
hex86a0d50

141167952 has 60 divisors (see below), whose sum is σ = 396382740. Its totient is φ = 46900224.

The previous prime is 141167947. The next prime is 141167953. The reversal of 141167952 is 259761141.

It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 58430736 = 9096^2 + 7644^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141167953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47074 + ... + 49982.

It is an arithmetic number, because the mean of its divisors is an integer number (6606379).

Almost surely, 2141167952 is an apocalyptic number.

141167952 is a gapful number since it is divisible by the number (12) 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 141167952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198191370).

141167952 is an abundant number, since it is smaller than the sum of its proper divisors (255214788).

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

141167952 is a wasteful number, since it uses less digits than its factorization.

141167952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3251 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 141167952 is about 11881.4120372959. The cubic root of 141167952 is about 520.6893618461.

The spelling of 141167952 in words is "one hundred forty-one million, one hundred sixty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 1011 1348 2022 2696 2909 3033 4044 5392 5818 6066 8088 8727 11636 12132 16176 17454 23272 24264 26181 34908 46544 48528 52362 69816 104724 139632 209448 418896 980333 1960666 2940999 3921332 5881998 7842664 8822997 11763996 15685328 17645994 23527992 35291988 47055984 70583976 141167952