Search a number
-
+
128480058 = 232723137127
BaseRepresentation
bin1111010100001…
…11001100111010
322221202110111200
413222013030322
5230342330213
620425435030
73120030300
oct752071472
9287673450
10128480058
1166583a73
123703ba76
1320805a05
14130c6270
15b42d273
hex7a8733a

128480058 has 144 divisors (see below), whose sum is σ = 346005504. Its totient is φ = 34292160.

The previous prime is 128480057. The next prime is 128480059. The reversal of 128480058 is 850084821.

128480058 is a `hidden beast` number, since 128 + 480 + 0 + 58 = 666.

It is an interprime number because it is at equal distance from previous prime (128480057) and next prime (128480059).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (128480057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1011591 + ... + 1011717.

It is an arithmetic number, because the mean of its divisors is an integer number (2402816).

Almost surely, 2128480058 is an apocalyptic number.

128480058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128480058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173002752).

128480058 is an abundant number, since it is smaller than the sum of its proper divisors (217525446).

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

128480058 is a wasteful number, since it uses less digits than its factorization.

128480058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 128480058 is about 11334.9044107130. The cubic root of 128480058 is about 504.5976705992.

The spelling of 128480058 in words is "one hundred twenty-eight million, four hundred eighty thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 37 42 49 62 63 74 93 98 111 126 127 147 186 217 222 254 259 279 294 333 381 434 441 518 558 651 666 762 777 882 889 1143 1147 1302 1519 1554 1778 1813 1953 2286 2294 2331 2667 3038 3441 3626 3906 3937 4557 4662 4699 5334 5439 6223 6882 7874 8001 8029 9114 9398 10323 10878 11811 12446 13671 14097 16002 16058 16317 18669 20646 23622 24087 27342 27559 28194 32634 32893 35433 37338 42291 48174 55118 56007 56203 65786 70866 72261 82677 84582 98679 112014 112406 144522 145669 165354 168609 192913 197358 230251 248031 291338 296037 337218 385826 437007 460502 496062 505827 578739 592074 690753 874014 1011654 1019683 1157478 1311021 1381506 1736217 2039366 2072259 2622042 3059049 3472434 4144518 6118098 7137781 9177147 14275562 18354294 21413343 42826686 64240029 128480058