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132243840 = 273452551
BaseRepresentation
bin1111110000111…
…10000110000000
3100012211200110000
413320132012000
5232323300330
621042240000
73164024361
oct770360600
9305750400
10132243840
1168714833
1238356000
1321522bc1
14137c5b68
15b923560
hex7e1e180

132243840 has 160 divisors (see below), whose sum is σ = 472451760. Its totient is φ = 35251200.

The previous prime is 132243823. The next prime is 132243847. The reversal of 132243840 is 48342231.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (132243847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50565 + ... + 53115.

Almost surely, 2132243840 is an apocalyptic number.

132243840 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 132243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236225880).

132243840 is an abundant number, since it is smaller than the sum of its proper divisors (340207920).

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

132243840 is an equidigital number, since it uses as much as digits as its factorization.

132243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 132243840 is about 11499.7321707942. The cubic root of 132243840 is about 509.4776659082.

The spelling of 132243840 in words is "one hundred thirty-two million, two hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2551 2592 2880 3240 3456 4320 5102 5184 5760 6480 7653 8640 10204 10368 12755 12960 15306 17280 20408 22959 25510 25920 30612 38265 40816 45918 51020 51840 61224 68877 76530 81632 91836 102040 114795 122448 137754 153060 163264 183672 204080 206631 229590 244896 275508 306120 326528 344385 367344 408160 413262 459180 489792 551016 612240 688770 734688 816320 826524 918360 979584 1033155 1102032 1224480 1377540 1469376 1632640 1653048 1836720 2066310 2204064 2448960 2755080 2938752 3306096 3673440 4132620 4408128 4897920 5510160 6612192 7346880 8265240 8816256 11020320 13224384 14693760 16530480 22040640 26448768 33060960 44081280 66121920 132243840