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140152544 = 25731132
BaseRepresentation
bin10000101101010…
…00111011100000
3100202201111010222
420112220323200
5241334340134
621523542212
73321164000
oct1026507340
9322644128
10140152544
1172126754
123ab2a968
13230618cc
1414884000
15c486a2e
hex85a8ee0

140152544 has 72 divisors (see below), whose sum is σ = 324651600. Its totient is φ = 59533824.

The previous prime is 140152499. The next prime is 140152583. The reversal of 140152544 is 445251041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

140152544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1240232 + ... + 1240344.

It is an arithmetic number, because the mean of its divisors is an integer number (4509050).

Almost surely, 2140152544 is an apocalyptic number.

140152544 is a gapful number since it is divisible by the number (14) 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 140152544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162325800).

140152544 is an abundant number, since it is smaller than the sum of its proper divisors (184499056).

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

140152544 is an frugal number, since it uses more digits than its factorization.

140152544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 140152544 is about 11838.6039717528. The cubic root of 140152544 is about 519.4379331159.

The spelling of 140152544 in words is "one hundred forty million, one hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 113 196 224 226 343 392 452 686 784 791 904 1372 1568 1582 1808 2744 3164 3616 5488 5537 6328 10976 11074 12656 12769 22148 25312 25538 38759 44296 51076 77518 88592 89383 102152 155036 177184 178766 204304 310072 357532 408608 620144 625681 715064 1240288 1251362 1430128 2502724 2860256 4379767 5005448 8759534 10010896 17519068 20021792 35038136 70076272 140152544