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129742440 = 23353134877
BaseRepresentation
bin1111011101110…
…11011001101000
3100001010121011120
413232323121220
5231203224230
620512455240
73133535562
oct756733150
9301117146
10129742440
1167266463
123754a520
1320b58499
1413334332
15b5cc310
hex7bbb668

129742440 has 64 divisors (see below), whose sum is σ = 401794560. Its totient is φ = 33480960.

The previous prime is 129742439. The next prime is 129742441. The reversal of 129742440 is 44247921.

It is an interprime number because it is at equal distance from previous prime (129742439) and next prime (129742441).

It is not an unprimeable number, because it can be changed into a prime (129742441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13719 + ... + 21158.

It is an arithmetic number, because the mean of its divisors is an integer number (6278040).

Almost surely, 2129742440 is an apocalyptic number.

129742440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129742440 is an abundant number, since it is smaller than the sum of its proper divisors (272052120).

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

129742440 is a wasteful number, since it uses less digits than its factorization.

129742440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34922 (or 34918 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 129742440 is about 11390.4538978919. The cubic root of 129742440 is about 506.2449302952.

The spelling of 129742440 in words is "one hundred twenty-nine million, seven hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 34877 69754 104631 139508 174385 209262 279016 348770 418524 523155 697540 837048 1046310 1081187 1395080 2092620 2162374 3243561 4185240 4324748 5405935 6487122 8649496 10811870 12974244 16217805 21623740 25948488 32435610 43247480 64871220 129742440