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140128632 = 23327239719
BaseRepresentation
bin10000101101000…
…11000101111000
3100202200021100100
420112203011320
5241333104012
621523235400
73321034200
oct1026430570
9322607310
10140128632
117210a796
123ab18b60
1323053a67
1414879400
15c47e8dc
hex85a3178

140128632 has 72 divisors (see below), whose sum is σ = 441487800. Its totient is φ = 40035744.

The previous prime is 140128621. The next prime is 140128643. The reversal of 140128632 is 236821041.

140128632 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 28 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (140128621) and next prime (140128643).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 140128596 and 140128605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16332 + ... + 23387.

It is an arithmetic number, because the mean of its divisors is an integer number (6131775).

Almost surely, 2140128632 is an apocalyptic number.

140128632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140128632 is an abundant number, since it is smaller than the sum of its proper divisors (301359168).

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

140128632 is a wasteful number, since it uses less digits than its factorization.

140128632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39745 (or 39731 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 140128632 is about 11837.5940122983. The cubic root of 140128632 is about 519.4083902908.

Adding to 140128632 its reverse (236821041), we get a palindrome (376949673).

The spelling of 140128632 in words is "one hundred forty million, one hundred twenty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 39719 79438 119157 158876 238314 278033 317752 357471 476628 556066 714942 834099 953256 1112132 1429884 1668198 1946231 2224264 2502297 2859768 3336396 3892462 5004594 5838693 6672792 7784924 10009188 11677386 15569848 17516079 20018376 23354772 35032158 46709544 70064316 140128632