Search a number
-
+
132010200 = 233252710477
BaseRepresentation
bin1111101111001…
…01000011011000
3100012101210221200
413313211003120
5232243311300
621033234200
73162032250
oct767450330
9305353850
10132010200
1168575243
1238262960
132147075a
1413764960
15b8c9200
hex7de50d8

132010200 has 144 divisors (see below), whose sum is σ = 506716080. Its totient is φ = 30170880.

The previous prime is 132010189. The next prime is 132010211. The reversal of 132010200 is 2010231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132010189) and next prime (132010211).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7362 + ... + 17838.

Almost surely, 2132010200 is an apocalyptic number.

132010200 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 132010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253358040).

132010200 is an abundant number, since it is smaller than the sum of its proper divisors (374705880).

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

132010200 is a wasteful number, since it uses less digits than its factorization.

132010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10506 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 132010200 is about 11489.5691825238. The cubic root of 132010200 is about 509.1774514671.

Adding to 132010200 its reverse (2010231), we get a palindrome (134020431).

The spelling of 132010200 in words is "one hundred thirty-two million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 10477 12600 20954 31431 41908 52385 62862 73339 83816 94293 104770 125724 146678 157155 188586 209540 220017 251448 261925 293356 314310 366695 377172 419080 440034 471465 523850 586712 628620 660051 733390 754344 785775 880068 942930 1047700 1100085 1257240 1320102 1466780 1571550 1760136 1833475 1885860 2095400 2200170 2357325 2640204 2933560 3143100 3300255 3666950 3771720 4400340 4714650 5280408 5500425 6286200 6600510 7333900 8800680 9429300 11000850 13201020 14667800 16501275 18858600 22001700 26402040 33002550 44003400 66005100 132010200