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132126260 = 225723371109
BaseRepresentation
bin1111110000000…
…01011000110100
3100012121201011012
413320001120310
5232311020020
621035531352
73163024520
oct770013064
9305551135
10132126260
1168644462
12382b9b58
13214b1526
1413794d80
15b8ed7c5
hex7e01634

132126260 has 96 divisors (see below), whose sum is σ = 340139520. Its totient is φ = 42121728.

The previous prime is 132126257. The next prime is 132126287. The reversal of 132126260 is 62621231.

132126260 = T291 + T292 + ... + T934.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118586 + ... + 119694.

It is an arithmetic number, because the mean of its divisors is an integer number (3543120).

Almost surely, 2132126260 is an apocalyptic number.

132126260 is a gapful number since it is divisible by the number (10) 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 132126260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170069760).

132126260 is an abundant number, since it is smaller than the sum of its proper divisors (208013260).

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

132126260 is a wasteful number, since it uses less digits than its factorization.

132126260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 132126260 is about 11494.6187409587. The cubic root of 132126260 is about 509.3266263672.

Adding to 132126260 its reverse (62621231), we get a palindrome (194747491).

The spelling of 132126260 in words is "one hundred thirty-two million, one hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 37 46 70 74 92 115 140 148 161 185 230 259 322 370 460 518 644 740 805 851 1036 1109 1295 1610 1702 2218 2590 3220 3404 4255 4436 5180 5545 5957 7763 8510 11090 11914 15526 17020 22180 23828 25507 29785 31052 38815 41033 51014 59570 77630 82066 102028 119140 127535 155260 164132 178549 205165 255070 287231 357098 410330 510140 574462 714196 820660 892745 943759 1148924 1436155 1785490 1887518 2872310 3570980 3775036 4718795 5744620 6606313 9437590 13212626 18875180 26425252 33031565 66063130 132126260