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140401728 = 2633312621
BaseRepresentation
bin10000101111001…
…01110001000000
3100210012010222000
420113211301000
5241420323403
621533144000
73323252325
oct1027456100
9323163860
10140401728
1172286995
123b02b000
132311b15c
141490ab4c
15c4d57a3
hex85e5c40

140401728 has 112 divisors (see below), whose sum is σ = 426232320. Its totient is φ = 45273600.

The previous prime is 140401727. The next prime is 140401733. The reversal of 140401728 is 827104041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140401727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52258 + ... + 54878.

Almost surely, 2140401728 is an apocalyptic number.

140401728 is a gapful number since it is divisible by the number (18) 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 140401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213116160).

140401728 is an abundant number, since it is smaller than the sum of its proper divisors (285830592).

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

140401728 is a wasteful number, since it uses less digits than its factorization.

140401728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 140401728 is about 11849.1235118890. The cubic root of 140401728 is about 519.7455954767.

Adding to 140401728 its reverse (827104041), we get a palindrome (967505769).

The spelling of 140401728 in words is "one hundred forty million, four hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2621 2976 3348 4464 5242 5952 6696 7863 8928 10484 13392 15726 17856 20968 23589 26784 31452 41936 47178 53568 62904 70767 81251 83872 94356 125808 141534 162502 167744 188712 243753 251616 283068 325004 377424 487506 503232 566136 650008 731259 754848 975012 1132272 1300016 1462518 1509696 1950024 2193777 2264544 2600032 2925036 3900048 4387554 4529088 5200064 5850072 7800096 8775108 11700144 15600192 17550216 23400288 35100432 46800576 70200864 140401728