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147433104 = 243271311251
BaseRepresentation
bin10001100100110…
…10011010010000
3101021102101012100
420302122122100
5300220324404
622344000400
73440106060
oct1062323220
9337371170
10147433104
1176249745
1241460100
1324710730
141581b3a0
15ce23d39
hex8c9a690

147433104 has 120 divisors (see below), whose sum is σ = 507870272. Its totient is φ = 38880000.

The previous prime is 147433093. The next prime is 147433109. The reversal of 147433104 is 401334741.

It is not an unprimeable number, because it can be changed into a prime (147433109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7479 + ... + 18729.

Almost surely, 2147433104 is an apocalyptic number.

147433104 is a gapful number since it is divisible by the number (14) 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 147433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253935136).

147433104 is an abundant number, since it is smaller than the sum of its proper divisors (360437168).

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

147433104 is a wasteful number, since it uses less digits than its factorization.

147433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11285 (or 11276 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 147433104 is about 12142.2034244201. The cubic root of 147433104 is about 528.2810143227.

Adding to 147433104 its reverse (401334741), we get a palindrome (548767845).

The spelling of 147433104 in words is "one hundred forty-seven million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 11251 13104 22502 33753 45004 67506 78757 90008 101259 135012 146263 157514 180016 202518 236271 270024 292526 315028 405036 438789 472542 540048 585052 630056 708813 810072 877578 945084 1023841 1170104 1260112 1316367 1417626 1620144 1755156 1890168 2047682 2340208 2632734 2835252 3071523 3510312 3780336 4095364 5265468 5670504 6143046 7020624 8190728 9214569 10530936 11341008 12286092 16381456 18429138 21061872 24572184 36858276 49144368 73716552 147433104