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140573952 = 2832173797
BaseRepresentation
bin10000110000011…
…11110100000000
3100210111220012200
420120033310000
5241441331302
621540553200
73324600411
oct1030176400
9323456180
10140573952
1172394322
123b0b2800
132317b66c
1414953808
15c51b81c
hex860fd00

140573952 has 216 divisors, whose sum is σ = 445293576. Its totient is φ = 42467328.

The previous prime is 140573947. The next prime is 140573957. The reversal of 140573952 is 259375041.

It is an interprime number because it is at equal distance from previous prime (140573947) and next prime (140573957).

It can be written as a sum of positive squares in 4 ways, for example, as 64256256 + 76317696 = 8016^2 + 8736^2 .

It is a super-3 number, since 3×1405739523 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 (140573957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449168 + ... + 1449264.

Almost surely, 2140573952 is an apocalyptic number.

140573952 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 140573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222646788).

140573952 is an abundant number, since it is smaller than the sum of its proper divisors (304719624).

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

140573952 is a wasteful number, since it uses less digits than its factorization.

140573952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 140573952 is about 11856.3886575972. The cubic root of 140573952 is about 519.9580242251.

It can be divided in two parts, 1405 and 73952, that added together give a palindrome (75357).

The spelling of 140573952 in words is "one hundred forty million, five hundred seventy-three thousand, nine hundred fifty-two".