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140704128 = 273441331
BaseRepresentation
bin10000110001011…
…11100110000000
3100210202111210000
420120233212000
5242010013003
621543440000
73325652055
oct1030574600
9323674700
10140704128
1172473104
123b156000
13231c59a6
141498902c
15c5451a3
hex862f980

140704128 has 160 divisors (see below), whose sum is σ = 430242120. Its totient is φ = 45619200.

The previous prime is 140704117. The next prime is 140704153. The reversal of 140704128 is 821407041.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 424923 + ... + 425253.

Almost surely, 2140704128 is an apocalyptic number.

140704128 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 140704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215121060).

140704128 is an abundant number, since it is smaller than the sum of its proper divisors (289537992).

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

140704128 is an equidigital number, since it uses as much as digits as its factorization.

140704128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

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

The square root of 140704128 is about 11861.8770858579. The cubic root of 140704128 is about 520.1184739917.

The spelling of 140704128 in words is "one hundred forty million, seven hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 288 324 328 331 369 384 432 492 576 648 656 662 738 864 984 993 1107 1152 1296 1312 1324 1476 1728 1968 1986 2214 2592 2624 2648 2952 2979 3321 3456 3936 3972 4428 5184 5248 5296 5904 5958 6642 7872 7944 8856 8937 10368 10592 11808 11916 13284 13571 15744 15888 17712 17874 21184 23616 23832 26568 26811 27142 31776 35424 35748 40713 42368 47232 47664 53136 53622 54284 63552 70848 71496 81426 95328 106272 107244 108568 122139 127104 141696 142992 162852 190656 212544 214488 217136 244278 285984 325704 366417 381312 425088 428976 434272 488556 571968 651408 732834 857952 868544 977112 1099251 1143936 1302816 1465668 1715904 1737088 1954224 2198502 2605632 2931336 3431808 3908448 4397004 5211264 5862672 7816896 8794008 11725344 15633792 17588016 23450688 35176032 46901376 70352064 140704128