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132233040 = 24335292111
BaseRepresentation
bin1111110000110…
…11011101010000
3100012211010122000
413320123131100
5232322424130
621042114000
73163651032
oct770333520
9305733560
10132233040
1168707705
123834b900
132151b004
14137c1c52
15b920260
hex7e1b750

132233040 has 160 divisors (see below), whose sum is σ = 471398400. Its totient is φ = 34030080.

The previous prime is 132233033. The next prime is 132233047. The reversal of 132233040 is 40332231.

It is an interprime number because it is at equal distance from previous prime (132233033) and next prime (132233047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132233047) 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, 61585 + ... + 63695.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2132233040 is an apocalyptic number.

132233040 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 132233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

132233040 is an abundant number, since it is smaller than the sum of its proper divisors (339165360).

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

132233040 is a wasteful number, since it uses less digits than its factorization.

132233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 132233040 is about 11499.2625850530. The cubic root of 132233040 is about 509.4637963054.

Adding to 132233040 its reverse (40332231), we get a palindrome (172565271).

The spelling of 132233040 in words is "one hundred thirty-two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1305 1392 1566 1740 2088 2111 2160 2320 2610 3132 3480 3915 4176 4222 5220 6264 6333 6960 7830 8444 10440 10555 12528 12666 15660 16888 18999 20880 21110 25332 31320 31665 33776 37998 42220 50664 56997 61219 62640 63330 75996 84440 94995 101328 113994 122438 126660 151992 168880 183657 189990 227988 244876 253320 284985 303984 306095 367314 379980 455976 489752 506640 550971 569970 612190 734628 759960 911952 918285 979504 1101942 1139940 1224380 1469256 1519920 1652913 1836570 2203884 2279880 2448760 2754855 2938512 3305826 3673140 4407768 4559760 4897520 5509710 6611652 7346280 8264565 8815536 11019420 13223304 14692560 16529130 22038840 26446608 33058260 44077680 66116520 132233040