Search a number
-
+
141370032 = 24319379409
BaseRepresentation
bin10000110110100…
…10001010110000
3100212000100020010
420123102022300
5242142320112
622010014520
73334424346
oct1033221260
9325010203
10141370032
1172888441
123b417440
1323399b0b
1414abd996
15c62763c
hex86d22b0

141370032 has 80 divisors (see below), whose sum is σ = 386384000. Its totient is φ = 44416512.

The previous prime is 141369989. The next prime is 141370037. The reversal of 141370032 is 230073141.

It is a junction number, because it is equal to n+sod(n) for n = 141369990 and 141370008.

It is not an unprimeable number, because it can be changed into a prime (141370037) 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 15 ways as a sum of consecutive naturals, for example, 345444 + ... + 345852.

It is an arithmetic number, because the mean of its divisors is an integer number (4829800).

Almost surely, 2141370032 is an apocalyptic number.

141370032 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 141370032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193192000).

141370032 is an abundant number, since it is smaller than the sum of its proper divisors (245013968).

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

141370032 is a wasteful number, since it uses less digits than its factorization.

141370032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 141370032 is about 11889.9130358468. The cubic root of 141370032 is about 520.9376966304.

The spelling of 141370032 in words is "one hundred forty-one million, three hundred seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 379 409 456 758 818 912 1137 1227 1516 1636 2274 2454 3032 3272 4548 4908 6064 6544 7201 7771 9096 9816 14402 15542 18192 19632 21603 23313 28804 31084 43206 46626 57608 62168 86412 93252 115216 124336 155011 172824 186504 310022 345648 373008 465033 620044 930066 1240088 1860132 2480176 2945209 3720264 5890418 7440528 8835627 11780836 17671254 23561672 35342508 47123344 70685016 141370032