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127764 = 22337132
BaseRepresentation
bin11111001100010100
320111021000
4133030110
513042024
62423300
71041330
oct371424
9214230
10127764
1187a9a
1261b30
1346200
14347c0
1527cc9
hex1f314

127764 has 72 divisors (see below), whose sum is σ = 409920. Its totient is φ = 33696.

The previous prime is 127763. The next prime is 127781. The reversal of 127764 is 467721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127763) 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, 9822 + ... + 9834.

2127764 is an apocalyptic number.

127764 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 127764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204960).

127764 is an abundant number, since it is smaller than the sum of its proper divisors (282156).

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

127764 is a wasteful number, since it uses less digits than its factorization.

127764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 25 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 127764 is about 357.4409042066. The cubic root of 127764 is about 50.3658498816.

It can be divided in two parts, 12 and 7764, that added together give a 5-th power (7776 = 65).

The spelling of 127764 in words is "one hundred twenty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 169 182 189 234 252 273 338 351 364 378 468 507 546 676 702 756 819 1014 1092 1183 1404 1521 1638 2028 2366 2457 3042 3276 3549 4563 4732 4914 6084 7098 9126 9828 10647 14196 18252 21294 31941 42588 63882 127764