Search a number
-
+
132425040 = 243511103487
BaseRepresentation
bin1111110010010…
…10010101010000
3100020011220000010
413321022111100
5232400100130
621050154520
73165410556
oct771122520
9306156003
10132425040
1168828990
1238422a40
1321587517
1413831bd6
15b95c0b0
hex7e4a550

132425040 has 160 divisors (see below), whose sum is σ = 453113856. Its totient is φ = 31726080.

The previous prime is 132425023. The next prime is 132425057. The reversal of 132425040 is 40524231.

It is an interprime number because it is at equal distance from previous prime (132425023) and next prime (132425057).

It is a junction number, because it is equal to n+sod(n) for n = 132424998 and 132425016.

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 31 ways as a sum of consecutive naturals, for example, 271677 + ... + 272163.

Almost surely, 2132425040 is an apocalyptic number.

132425040 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 132425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226556928).

132425040 is an abundant number, since it is smaller than the sum of its proper divisors (320688816).

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

132425040 is a wasteful number, since it uses less digits than its factorization.

132425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 132425040 is about 11507.6079182426. The cubic root of 132425040 is about 509.7102544881.

Adding to 132425040 its reverse (40524231), we get a palindrome (172949271).

The spelling of 132425040 in words is "one hundred thirty-two million, four hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 103 110 120 132 165 176 206 220 240 264 309 330 412 440 487 515 528 618 660 824 880 974 1030 1133 1236 1320 1461 1545 1648 1948 2060 2266 2435 2472 2640 2922 3090 3399 3896 4120 4532 4870 4944 5357 5665 5844 6180 6798 7305 7792 8240 9064 9740 10714 11330 11688 12360 13596 14610 16071 16995 18128 19480 21428 22660 23376 24720 26785 27192 29220 32142 33990 38960 42856 45320 50161 53570 54384 58440 64284 67980 80355 85712 90640 100322 107140 116880 128568 135960 150483 160710 200644 214280 250805 257136 271920 300966 321420 401288 428560 501610 551771 601932 642840 752415 802576 1003220 1103542 1203864 1285680 1504830 1655313 2006440 2207084 2407728 2758855 3009660 3310626 4012880 4414168 5517710 6019320 6621252 8276565 8828336 11035420 12038640 13242504 16553130 22070840 26485008 33106260 44141680 66212520 132425040