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140920416 = 253271319283
BaseRepresentation
bin10000110011001…
…00011001100000
3100211011111110200
420121210121200
5242033423131
621552225200
73330542460
oct1031443140
9324144420
10140920416
117260065a
123b23b200
1323270280
1414a03ba0
15c5892e6
hex8664660

140920416 has 288 divisors, whose sum is σ = 521015040. Its totient is φ = 35085312.

The previous prime is 140920411. The next prime is 140920427. The reversal of 140920416 is 614029041.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1409204162 = 39717127291226112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140920416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140920411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497811 + ... + 498093.

It is an arithmetic number, because the mean of its divisors is an integer number (1809080).

Almost surely, 2140920416 is an apocalyptic number.

140920416 is a gapful number since it is divisible by the number (16) 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 140920416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260507520).

140920416 is an abundant number, since it is smaller than the sum of its proper divisors (380094624).

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

140920416 is a wasteful number, since it uses less digits than its factorization.

140920416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 140920416 is about 11870.9905231198. The cubic root of 140920416 is about 520.3848433188.

Adding to 140920416 its reverse (614029041), we get a palindrome (754949457).

The spelling of 140920416 in words is "one hundred forty million, nine hundred twenty thousand, four hundred sixteen".