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132144240 = 24351928979
BaseRepresentation
bin1111110000001…
…01110001110000
3100012122121211010
413320011301300
5232312103430
621040150520
73163131114
oct770056160
9305577733
10132144240
1168656a18
1238308440
13214b9777
141379b744
15b903cb0
hex7e05c70

132144240 has 80 divisors (see below), whose sum is σ = 431222400. Its totient is φ = 33382656.

The previous prime is 132144209. The next prime is 132144253. The reversal of 132144240 is 42441231.

It is a tau number, because it is divible by the number of its divisors (80).

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, 9930 + ... + 19049.

It is an arithmetic number, because the mean of its divisors is an integer number (5390280).

Almost surely, 2132144240 is an apocalyptic number.

132144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132144240 is an abundant number, since it is smaller than the sum of its proper divisors (299078160).

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

132144240 is a wasteful number, since it uses less digits than its factorization.

132144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29014 (or 29008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 132144240 is about 11495.4008194582. The cubic root of 132144240 is about 509.3497287072.

Adding to 132144240 its reverse (42441231), we get a palindrome (174585471).

The spelling of 132144240 in words is "one hundred thirty-two million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 28979 57958 86937 115916 144895 173874 231832 289790 347748 434685 463664 550601 579580 695496 869370 1101202 1159160 1390992 1651803 1738740 2202404 2318320 2753005 3303606 3477480 4404808 5506010 6607212 6954960 8259015 8809616 11012020 13214424 16518030 22024040 26428848 33036060 44048080 66072120 132144240