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132185340 = 22325732141
BaseRepresentation
bin1111110000011…
…11110011111100
3100012201201012100
413320033303330
5232314412330
621041105100
73163362000
oct770176374
9305651170
10132185340
1168684891
1238328190
13215023a1
14137ac700
15b911060
hex7e0fcfc

132185340 has 144 divisors (see below), whose sum is σ = 467812800. Its totient is φ = 30199680.

The previous prime is 132185329. The next prime is 132185341. The reversal of 132185340 is 43581231.

It is a happy number.

It is a super-2 number, since 2×1321853402 = 34945928221831200, which contains 22 as substring.

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 (132185341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60670 + ... + 62810.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 2132185340 is an apocalyptic number.

132185340 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 132185340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233906400).

132185340 is an abundant number, since it is smaller than the sum of its proper divisors (335627460).

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

132185340 is a wasteful number, since it uses less digits than its factorization.

132185340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 132185340 is about 11497.1883519407. The cubic root of 132185340 is about 509.4025298581.

The spelling of 132185340 in words is "one hundred thirty-two million, one hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2141 2205 2940 3087 3430 4116 4282 4410 5145 6174 6423 6860 8564 8820 10290 10705 12348 12846 14987 15435 19269 20580 21410 25692 29974 30870 32115 38538 42820 44961 59948 61740 64230 74935 77076 89922 96345 104909 128460 134883 149870 179844 192690 209818 224805 269766 299740 314727 385380 419636 449610 524545 539532 629454 674415 734363 899220 944181 1049090 1258908 1348830 1468726 1573635 1888362 2098180 2203089 2697660 2937452 3147270 3671815 3776724 4406178 4720905 6294540 6609267 7343630 8812356 9441810 11015445 13218534 14687260 18883620 22030890 26437068 33046335 44061780 66092670 132185340