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132027720 = 233511293449
BaseRepresentation
bin1111101111010…
…01010101001000
3100012102200222120
413313221111020
5232244341340
621033451240
73162134316
oct767512510
9305380876
10132027720
1168587420
1238270b20
1321478716
141376b0b6
15b8ce4d0
hex7de9548

132027720 has 128 divisors (see below), whose sum is σ = 447120000. Its totient is φ = 30894080.

The previous prime is 132027719. The next prime is 132027761. The reversal of 132027720 is 27720231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 36556 + ... + 40004.

It is an arithmetic number, because the mean of its divisors is an integer number (3493125).

Almost surely, 2132027720 is an apocalyptic number.

132027720 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 132027720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223560000).

132027720 is an abundant number, since it is smaller than the sum of its proper divisors (315092280).

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

132027720 is a wasteful number, since it uses less digits than its factorization.

132027720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 132027720 is about 11490.3315879047. The cubic root of 132027720 is about 509.1999759749.

Adding to 132027720 its reverse (27720231), we get a palindrome (159747951).

The spelling of 132027720 in words is "one hundred thirty-two million, twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1160 1276 1320 1595 1740 1914 2552 3190 3449 3480 3828 4785 6380 6898 7656 9570 10347 12760 13796 17245 19140 20694 27592 34490 37939 38280 41388 51735 68980 75878 82776 100021 103470 113817 137960 151756 189695 200042 206940 227634 300063 303512 379390 400084 413880 455268 500105 569085 600126 758780 800168 910536 1000210 1100231 1138170 1200252 1500315 1517560 2000420 2200462 2276340 2400504 3000630 3300693 4000840 4400924 4552680 5501155 6001260 6601386 8801848 11002310 12002520 13202772 16503465 22004620 26405544 33006930 44009240 66013860 132027720