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132023040 = 283534381
BaseRepresentation
bin1111101111010…
…00001100000000
3100012102110120020
413313220030000
5232244214130
621033413440
73162114552
oct767501400
9305373506
10132023040
1168583956
123826a280
1321476556
14137694d2
15b8cce10
hex7de8300

132023040 has 72 divisors (see below), whose sum is σ = 421660848. Its totient is φ = 35205120.

The previous prime is 132023033. The next prime is 132023041. The reversal of 132023040 is 40320231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (132023041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13351 + ... + 21030.

Almost surely, 2132023040 is an apocalyptic number.

132023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132023040 is an abundant number, since it is smaller than the sum of its proper divisors (289637808).

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

132023040 is an equidigital number, since it uses as much as digits as its factorization.

132023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34405 (or 34391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 132023040 is about 11490.1279366246. The cubic root of 132023040 is about 509.1939593494.

Adding to 132023040 its reverse (40320231), we get a palindrome (172343271).

The spelling of 132023040 in words is "one hundred thirty-two million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 34381 68762 103143 137524 171905 206286 275048 343810 412572 515715 550096 687620 825144 1031430 1100192 1375240 1650288 2062860 2200384 2750480 3300576 4125720 4400768 5500960 6601152 8251440 8801536 11001920 13202304 16502880 22003840 26404608 33005760 44007680 66011520 132023040