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412320132 = 223471371327
BaseRepresentation
bin11000100100111…
…000000110000100
31001201212000220000
4120210320012010
51321023221012
6104525241300
713134443340
oct3044700604
91051760800
10412320132
111a1820244
12b6103230
1367566213
143ca90620
15262e8ddc
hex18938184

412320132 has 120 divisors (see below), whose sum is σ = 1241796864. Its totient is φ = 116857728.

The previous prime is 412320109. The next prime is 412320137. The reversal of 412320132 is 231023214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (412320137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 310053 + ... + 311379.

Almost surely, 2412320132 is an apocalyptic number.

412320132 is a gapful number since it is divisible by the number (42) 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 412320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620898432).

412320132 is an abundant number, since it is smaller than the sum of its proper divisors (829476732).

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

412320132 is a wasteful number, since it uses less digits than its factorization.

412320132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 412320132 is about 20305.6674847196. The cubic root of 412320132 is about 744.2945633823.

Adding to 412320132 its reverse (231023214), we get a palindrome (643343346).

The spelling of 412320132 in words is "four hundred twelve million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 137 162 189 252 274 324 378 411 548 567 756 822 959 1134 1233 1327 1644 1918 2268 2466 2654 2877 3699 3836 3981 4932 5308 5754 7398 7962 8631 9289 11097 11508 11943 14796 15924 17262 18578 22194 23886 25893 27867 34524 35829 37156 44388 47772 51786 55734 71658 77679 83601 103572 107487 111468 143316 155358 167202 181799 214974 250803 310716 334404 363598 429948 501606 545397 727196 752409 1003212 1090794 1272593 1504818 1636191 2181588 2545186 3009636 3272382 3817779 4908573 5090372 6544764 7635558 9817146 11453337 14725719 15271116 19634292 22906674 29451438 34360011 45813348 58902876 68720022 103080033 137440044 206160066 412320132