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140738688 = 2733193211
BaseRepresentation
bin10000110001110…
…00000010000000
3100210211021012000
420120320002000
5242012114223
621544304000
73326154606
oct1030700200
9323737160
10140738688
1172497072
123b172000
132320863c
1414997876
15c550543
hex8638080

140738688 has 128 divisors (see below), whose sum is σ = 419505600. Its totient is φ = 46448640.

The previous prime is 140738687. The next prime is 140738707. The reversal of 140738688 is 886837041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1407386882 = 39614756599922688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140738687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666903 + ... + 667113.

Almost surely, 2140738688 is an apocalyptic number.

140738688 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 140738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209752800).

140738688 is an abundant number, since it is smaller than the sum of its proper divisors (278766912).

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

140738688 is a wasteful number, since it uses less digits than its factorization.

140738688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 140738688 is about 11863.3337641660. Note that the first 3 decimals coincide. The cubic root of 140738688 is about 520.1610546494.

The spelling of 140738688 in words is "one hundred forty million, seven hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 193 211 216 288 384 386 422 432 576 579 633 772 844 864 1152 1158 1266 1544 1688 1728 1737 1899 2316 2532 3088 3376 3456 3474 3798 4632 5064 5211 5697 6176 6752 6948 7596 9264 10128 10422 11394 12352 13504 13896 15192 18528 20256 20844 22788 24704 27008 27792 30384 37056 40512 40723 41688 45576 55584 60768 74112 81024 81446 83376 91152 111168 121536 122169 162892 166752 182304 222336 243072 244338 325784 333504 364608 366507 488676 651568 667008 729216 733014 977352 1099521 1303136 1466028 1954704 2199042 2606272 2932056 3909408 4398084 5212544 5864112 7818816 8796168 11728224 15637632 17592336 23456448 35184672 46912896 70369344 140738688