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147810728 = 231319231127
BaseRepresentation
bin10001100111101…
…10100110101000
3101022010120012102
420303312212220
5300314420403
622400032532
73443241032
oct1063664650
9338116172
10147810728
117648742a
1241602748
1324813590
14158b8c52
15ce9ab88
hex8cf69a8

147810728 has 96 divisors (see below), whose sum is σ = 327720960. Its totient is φ = 62052480.

The previous prime is 147810727. The next prime is 147810731. The reversal of 147810728 is 827018741.

147810728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1478107282 = 43696022623779968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 147810691 and 147810700.

It is not an unprimeable number, because it can be changed into a prime (147810727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163801 + ... + 1163927.

It is an arithmetic number, because the mean of its divisors is an integer number (3413760).

Almost surely, 2147810728 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 147810728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

147810728 is an abundant number, since it is smaller than the sum of its proper divisors (179910232).

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

147810728 is a wasteful number, since it uses less digits than its factorization.

147810728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 38.

The square root of 147810728 is about 12157.7435406411. The cubic root of 147810728 is about 528.7316627985.

The spelling of 147810728 in words is "one hundred forty-seven million, eight hundred ten thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 19 26 31 38 52 62 76 104 124 127 152 247 248 254 361 403 494 508 589 722 806 988 1016 1178 1444 1612 1651 1976 2356 2413 2888 3224 3302 3937 4693 4712 4826 6604 7657 7874 9386 9652 11191 13208 15314 15748 18772 19304 22382 30628 31369 31496 37544 44764 45847 51181 61256 62738 74803 89528 91694 102362 125476 145483 149606 183388 204724 250952 290966 299212 366776 409448 581932 596011 598424 972439 1163864 1192022 1421257 1944878 2384044 2842514 3889756 4768088 5685028 7779512 11370056 18476341 36952682 73905364 147810728