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140125356 = 223371710903
BaseRepresentation
bin10000101101000…
…10010010101100
3100202200002212000
420112202102230
5241333002411
621523212300
73321021510
oct1026422254
9322602760
10140125356
1172108288
123ab17090
1323052417
1414878140
15c47d956
hex85a24ac

140125356 has 96 divisors (see below), whose sum is σ = 439649280. Its totient is φ = 37677312.

The previous prime is 140125333. The next prime is 140125367. The reversal of 140125356 is 653521041.

140125356 is a `hidden beast` number, since 1 + 401 + 253 + 5 + 6 = 666.

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 31 ways as a sum of consecutive naturals, for example, 7401 + ... + 18303.

It is an arithmetic number, because the mean of its divisors is an integer number (4579680).

Almost surely, 2140125356 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 140125356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219824640).

140125356 is an abundant number, since it is smaller than the sum of its proper divisors (299523924).

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

140125356 is a wasteful number, since it uses less digits than its factorization.

140125356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10940 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 140125356 is about 11837.4556387764. The cubic root of 140125356 is about 519.4043425928.

Adding to 140125356 its reverse (653521041), we get a palindrome (793646397).

The spelling of 140125356 in words is "one hundred forty million, one hundred twenty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 4284 6426 10903 12852 21806 32709 43612 65418 76321 98127 130836 152642 185351 196254 228963 294381 305284 370702 392508 457926 556053 588762 686889 741404 915852 1112106 1177524 1297457 1373778 1668159 2060667 2224212 2594914 2747556 3336318 3892371 4121334 5004477 5189828 6672636 7784742 8242668 10008954 11677113 15569484 20017908 23354226 35031339 46708452 70062678 140125356