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132618480 = 243519127229
BaseRepresentation
bin1111110011110…
…01100011110000
3100020112201100120
413321321203300
5232422242410
621054250240
73200144541
oct771714360
9306481316
10132618480
1168950255
12384b6980
1321624597
14138824c8
15b999570
hex7e798f0

132618480 has 160 divisors (see below), whose sum is σ = 438067200. Its totient is φ = 33094656.

The previous prime is 132618467. The next prime is 132618481. The reversal of 132618480 is 84816231.

It is a super-2 number, since 2×1326184802 = 35175322475020800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132618481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579006 + ... + 579234.

It is an arithmetic number, because the mean of its divisors is an integer number (2737920).

Almost surely, 2132618480 is an apocalyptic number.

132618480 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 132618480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219033600).

132618480 is an abundant number, since it is smaller than the sum of its proper divisors (305448720).

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

132618480 is a wasteful number, since it uses less digits than its factorization.

132618480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 132618480 is about 11516.0097255951. The cubic root of 132618480 is about 509.9583203155.

The spelling of 132618480 in words is "one hundred thirty-two million, six hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 127 152 190 228 229 240 254 285 304 380 381 456 458 508 570 635 687 760 762 912 916 1016 1140 1145 1270 1374 1520 1524 1832 1905 2032 2280 2290 2413 2540 2748 3048 3435 3664 3810 4351 4560 4580 4826 5080 5496 6096 6870 7239 7620 8702 9160 9652 10160 10992 12065 13053 13740 14478 15240 17404 18320 19304 21755 24130 26106 27480 28956 29083 30480 34808 36195 38608 43510 48260 52212 54960 57912 58166 65265 69616 72390 87020 87249 96520 104424 115824 116332 130530 144780 145415 174040 174498 193040 208848 232664 261060 289560 290830 348080 348996 436245 465328 522120 552577 579120 581660 697992 872490 1044240 1105154 1163320 1395984 1657731 1744980 2210308 2326640 2762885 3315462 3489960 4420616 5525770 6630924 6979920 8288655 8841232 11051540 13261848 16577310 22103080 26523696 33154620 44206160 66309240 132618480