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147129750 = 2335371307
BaseRepresentation
bin10001100010100…
…00010110010110
3101020211222002000
420301100112112
5300131123000
622333300130
73434403465
oct1061202626
9336758060
10147129750
1176061839
1241334646
1324635631
141577c9dc
15cdb4000
hex8c50596

147129750 has 128 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 38556000.

The previous prime is 147129739. The next prime is 147129761. The reversal of 147129750 is 57921741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (147129739) and next prime (147129761).

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 63 ways as a sum of consecutive naturals, for example, 479097 + ... + 479403.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2147129750 is an apocalyptic number.

147129750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147129750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

147129750 is an abundant number, since it is smaller than the sum of its proper divisors (268004970).

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

147129750 is a wasteful number, since it uses less digits than its factorization.

147129750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 147129750 is about 12129.7052725942. The cubic root of 147129750 is about 527.9184403981.

The spelling of 147129750 in words is "one hundred forty-seven million, one hundred twenty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 71 75 90 125 135 142 150 213 225 250 270 307 355 375 426 450 614 639 675 710 750 921 1065 1125 1278 1350 1535 1775 1842 1917 2130 2250 2763 3070 3195 3375 3550 3834 4605 5325 5526 6390 6750 7675 8289 8875 9210 9585 10650 13815 15350 15975 16578 17750 19170 21797 23025 26625 27630 31950 38375 41445 43594 46050 47925 53250 65391 69075 76750 79875 82890 95850 108985 115125 130782 138150 159750 196173 207225 217970 230250 239625 326955 345375 392346 414450 479250 544925 588519 653910 690750 980865 1036125 1089850 1177038 1634775 1961730 2072250 2724625 2942595 3269550 4904325 5449250 5885190 8173875 9808650 14712975 16347750 24521625 29425950 49043250 73564875 147129750