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140984032 = 2573179257
BaseRepresentation
bin10000110011100…
…11111011100000
3100211021201201211
420121303323200
5242042442112
621553435504
73331226110
oct1031637340
9324251654
10140984032
1172644432
123b26bb94
1323293207
1414a1d040
15c59d0a7
hex8673ee0

140984032 has 96 divisors (see below), whose sum is σ = 332881920. Its totient is φ = 57507840.

The previous prime is 140984027. The next prime is 140984033. The reversal of 140984032 is 230489041.

140984032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 140983985 and 140984003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140984033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548448 + ... + 548704.

It is an arithmetic number, because the mean of its divisors is an integer number (3467520).

Almost surely, 2140984032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140984032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166440960).

140984032 is an abundant number, since it is smaller than the sum of its proper divisors (191897888).

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

140984032 is a wasteful number, since it uses less digits than its factorization.

140984032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 140984032 is about 11873.6696939068. The cubic root of 140984032 is about 520.4631376801.

The spelling of 140984032 in words is "one hundred forty million, nine hundred eighty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 79 112 124 158 217 224 248 257 316 434 496 514 553 632 868 992 1028 1106 1264 1736 1799 2056 2212 2449 2528 3472 3598 4112 4424 4898 6944 7196 7967 8224 8848 9796 14392 15934 17143 17696 19592 20303 28784 31868 34286 39184 40606 55769 57568 63736 68572 78368 81212 111538 127472 137144 142121 162424 223076 254944 274288 284242 324848 446152 548576 568484 629393 649696 892304 1136968 1258786 1784608 2273936 2517572 4405751 4547872 5035144 8811502 10070288 17623004 20140576 35246008 70492016 140984032