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141393120 = 25351161439
BaseRepresentation
bin10000110110101…
…11110011100000
3100212001111220020
420123113303200
5242144034440
622010313440
73334551561
oct1033276340
9325044806
10141393120
11728a3820
123b428880
13233a748b
1414ac8168
15c62e3d0
hex86d7ce0

141393120 has 192 divisors, whose sum is σ = 494968320. Its totient is φ = 33638400.

The previous prime is 141393113. The next prime is 141393127. The reversal of 141393120 is 21393141.

141393120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141393113) and next prime (141393127).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141393127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321861 + ... + 322299.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2141393120 is an apocalyptic number.

141393120 is a gapful number since it is divisible by the number (10) 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 141393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

141393120 is an abundant number, since it is smaller than the sum of its proper divisors (353575200).

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

141393120 is a wasteful number, since it uses less digits than its factorization.

141393120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 141393120 is about 11890.8839032260. The cubic root of 141393120 is about 520.9660542549.

The spelling of 141393120 in words is "one hundred forty-one million, three hundred ninety-three thousand, one hundred twenty".