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140125248 = 263383977
BaseRepresentation
bin10000101101000…
…10010001000000
3100202200002201000
420112202101000
5241333001443
621523212000
73321021264
oct1026422100
9322602630
10140125248
117210819a
123ab17000
1323052363
14148780a4
15c47d8d3
hex85a2440

140125248 has 112 divisors (see below), whose sum is σ = 417332160. Its totient is φ = 46098432.

The previous prime is 140125241. The next prime is 140125259. The reversal of 140125248 is 842521041.

140125248 is a `hidden beast` number, since 1 + 401 + 252 + 4 + 8 = 666.

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 (140125241) 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, 142936 + ... + 143912.

It is an arithmetic number, because the mean of its divisors is an integer number (3726180).

Almost surely, 2140125248 is an apocalyptic number.

140125248 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 140125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208666080).

140125248 is an abundant number, since it is smaller than the sum of its proper divisors (277206912).

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

140125248 is an equidigital number, since it uses as much as digits as its factorization.

140125248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 140125248 is about 11837.4510769844. The cubic root of 140125248 is about 519.4042091511.

Adding to 140125248 its reverse (842521041), we get a palindrome (982646289).

The spelling of 140125248 in words is "one hundred forty million, one hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 288 332 432 498 576 664 747 864 977 996 1328 1494 1728 1954 1992 2241 2656 2931 2988 3908 3984 4482 5312 5862 5976 7816 7968 8793 8964 11724 11952 15632 15936 17586 17928 23448 23904 26379 31264 35172 35856 46896 47808 52758 62528 70344 71712 81091 93792 105516 140688 143424 162182 187584 211032 243273 281376 324364 422064 486546 562752 648728 729819 844128 973092 1297456 1459638 1688256 1946184 2189457 2594912 2919276 3892368 4378914 5189824 5838552 7784736 8757828 11677104 15569472 17515656 23354208 35031312 46708416 70062624 140125248