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147036032 = 27111329277
BaseRepresentation
bin10001100001110…
…01011110000000
3101020200012111222
420300321132000
5300120123112
622331254212
73433533323
oct1060713600
9336605458
10147036032
1175aa8390
12412aa368
1324601a90
14157567ba
15cd96372
hex8c39780

147036032 has 128 divisors (see below), whose sum is σ = 357285600. Its totient is φ = 59351040.

The previous prime is 147036023. The next prime is 147036053. The reversal of 147036032 is 230630741.

147036032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 147035992 and 147036010.

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 15 ways as a sum of consecutive naturals, for example, 530678 + ... + 530954.

Almost surely, 2147036032 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 147036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178642800).

147036032 is an abundant number, since it is smaller than the sum of its proper divisors (210249568).

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

147036032 is a wasteful number, since it uses less digits than its factorization.

147036032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 147036032 is about 12125.8414965725. The cubic root of 147036032 is about 527.8063262743.

Adding to 147036032 its reverse (230630741), we get a palindrome (377666773).

The spelling of 147036032 in words is "one hundred forty-seven million, thirty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 64 88 104 116 128 143 176 208 232 277 286 319 352 377 416 464 554 572 638 704 754 832 928 1108 1144 1276 1408 1508 1664 1856 2216 2288 2552 3016 3047 3601 3712 4147 4432 4576 5104 6032 6094 7202 8033 8294 8864 9152 10208 12064 12188 14404 16066 16588 17728 18304 20416 24128 24376 28808 32132 33176 35456 39611 40832 48256 48752 57616 64264 66352 79222 88363 97504 104429 115232 128528 132704 158444 176726 195008 208858 230464 257056 265408 316888 353452 390016 417716 460928 514112 530816 633776 706904 835432 1028224 1148719 1267552 1413808 1670864 2297438 2535104 2827616 3341728 4594876 5070208 5655232 6683456 9189752 11310464 13366912 18379504 36759008 73518016 147036032