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132809280 = 2635373739
BaseRepresentation
bin1111110101010…
…00001001000000
3100020220102002020
413322220021000
5232444344110
621102321440
73201601032
oct772501100
9306812066
10132809280
1168a7063a
1238589280
1321690396
14138d1c52
15b9d5d70
hex7ea8240

132809280 has 112 divisors (see below), whose sum is σ = 433181760. Its totient is φ = 34449408.

The previous prime is 132809279. The next prime is 132809329. The reversal of 132809280 is 82908231.

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, 33651 + ... + 37389.

Almost surely, 2132809280 is an apocalyptic number.

132809280 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 132809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216590880).

132809280 is an abundant number, since it is smaller than the sum of its proper divisors (300372480).

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

132809280 is a wasteful number, since it uses less digits than its factorization.

132809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 132809280 is about 11524.2908675545. The cubic root of 132809280 is about 510.2027644344.

The spelling of 132809280 in words is "one hundred thirty-two million, eight hundred nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1776 2220 2368 2960 3552 3739 4440 5920 7104 7478 8880 11217 11840 14956 17760 18695 22434 29912 35520 37390 44868 56085 59824 74780 89736 112170 119648 138343 149560 179472 224340 239296 276686 299120 358944 415029 448680 553372 598240 691715 717888 830058 897360 1106744 1196480 1383430 1660116 1794720 2075145 2213488 2766860 3320232 3589440 4150290 4426976 5533720 6640464 8300580 8853952 11067440 13280928 16601160 22134880 26561856 33202320 44269760 66404640 132809280