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132348240 = 24325473911
BaseRepresentation
bin1111110001101…
…11100101010000
3100020000222122200
413320313211100
5232340120430
621044403200
73164640633
oct770674520
9306028580
10132348240
1168786212
12383a6500
132155b58b
1413811c1a
15b944460
hex7e37950

132348240 has 120 divisors (see below), whose sum is σ = 454042368. Its totient is φ = 34533120.

The previous prime is 132348217. The next prime is 132348241. The reversal of 132348240 is 42843231.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132348241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31885 + ... + 35795.

Almost surely, 2132348240 is an apocalyptic number.

132348240 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 132348240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227021184).

132348240 is an abundant number, since it is smaller than the sum of its proper divisors (321694128).

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

132348240 is a wasteful number, since it uses less digits than its factorization.

132348240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3968 counting only the distinct ones).

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

The square root of 132348240 is about 11504.2705114231. The cubic root of 132348240 is about 509.6116998202.

The spelling of 132348240 in words is "one hundred thirty-two million, three hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 3911 4230 5640 6768 7822 8460 11280 11733 15644 16920 19555 23466 31288 33840 35199 39110 46932 58665 62576 70398 78220 93864 117330 140796 156440 175995 183817 187728 234660 281592 312880 351990 367634 469320 551451 563184 703980 735268 919085 938640 1102902 1407960 1470536 1654353 1838170 2205804 2757255 2815920 2941072 3308706 3676340 4411608 5514510 6617412 7352680 8271765 8823216 11029020 13234824 14705360 16543530 22058040 26469648 33087060 44116080 66174120 132348240