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140557248 = 2633136257
BaseRepresentation
bin10000110000010…
…11101111000000
3100210111001022000
420120023233000
5241440312443
621540344000
73324500616
oct1030135700
9323431260
10140557248
1172382817
123b0a5000
1323173b90
141494b6b6
15c5168d3
hex860bbc0

140557248 has 112 divisors (see below), whose sum is σ = 445068960. Its totient is φ = 43241472.

The previous prime is 140557247. The next prime is 140557253. The reversal of 140557248 is 842755041.

140557248 is a `hidden beast` number, since 1 + 40 + 5 + 572 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140557243) 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, 19336 + ... + 25592.

It is an arithmetic number, because the mean of its divisors is an integer number (3973830).

Almost surely, 2140557248 is an apocalyptic number.

140557248 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 140557248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222534480).

140557248 is an abundant number, since it is smaller than the sum of its proper divisors (304511712).

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

140557248 is a wasteful number, since it uses less digits than its factorization.

140557248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 140557248 is about 11855.6842063206. The cubic root of 140557248 is about 519.9374283685.

It can be divided in two parts, 1405 and 57248, that added together give a triangular number (58653 = T342).

The spelling of 140557248 in words is "one hundred forty million, five hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 6257 7488 11232 12514 18771 22464 25028 37542 50056 56313 75084 81341 100112 112626 150168 162682 168939 200224 225252 244023 300336 325364 337878 400448 450504 488046 600672 650728 675756 732069 901008 976092 1201344 1301456 1351512 1464138 1802016 1952184 2196207 2602912 2703024 2928276 3604032 3904368 4392414 5205824 5406048 5856552 7808736 8784828 10812096 11713104 15617472 17569656 23426208 35139312 46852416 70278624 140557248