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132605440 = 2951117277
BaseRepresentation
bin1111110011101…
…10011000000000
3100020112001110121
413321312120000
5232421333230
621054110024
73200061532
oct771663000
9306461417
10132605440
1168941480
12384ab314
132161b676
141387b852
15b99577a
hex7e76600

132605440 has 160 divisors (see below), whose sum is σ = 368574624. Its totient is φ = 45219840.

The previous prime is 132605437. The next prime is 132605453. The reversal of 132605440 is 44506231.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478582 + ... + 478858.

Almost surely, 2132605440 is an apocalyptic number.

132605440 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 132605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184287312).

132605440 is an abundant number, since it is smaller than the sum of its proper divisors (235969184).

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

132605440 is a wasteful number, since it uses less digits than its factorization.

132605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 132605440 is about 11515.4435433465. The cubic root of 132605440 is about 509.9416055146.

The spelling of 132605440 in words is "one hundred thirty-two million, six hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 128 136 160 170 176 187 220 256 272 277 320 340 352 374 440 512 544 554 640 680 704 748 880 935 1088 1108 1280 1360 1385 1408 1496 1760 1870 2176 2216 2560 2720 2770 2816 2992 3047 3520 3740 4352 4432 4709 5440 5540 5632 5984 6094 7040 7480 8704 8864 9418 10880 11080 11968 12188 14080 14960 15235 17728 18836 21760 22160 23545 23936 24376 28160 29920 30470 35456 37672 43520 44320 47090 47872 48752 51799 59840 60940 70912 75344 88640 94180 95744 97504 103598 119680 121880 141824 150688 177280 188360 195008 207196 239360 243760 258995 301376 354560 376720 390016 414392 478720 487520 517990 602752 709120 753440 780032 828784 975040 1035980 1205504 1506880 1560064 1657568 1950080 2071960 2411008 3013760 3315136 3900160 4143920 6027520 6630272 7800320 8287840 12055040 13260544 16575680 26521088 33151360 66302720 132605440