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132244840 = 23571347773
BaseRepresentation
bin1111110000111…
…10010101101000
3100012211201211001
413320132111220
5232323313330
621042244344
73164030320
oct770362550
9305751731
10132244840
1168715562
12383566b4
13215234b0
14137c6280
15b9239ca
hex7e1e568

132244840 has 128 divisors (see below), whose sum is σ = 374492160. Its totient is φ = 40909824.

The previous prime is 132244811. The next prime is 132244841. The reversal of 132244840 is 48442231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132244799 and 132244808.

It is not an unprimeable number, because it can be changed into a prime (132244841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170694 + ... + 171466.

It is an arithmetic number, because the mean of its divisors is an integer number (2925720).

Almost surely, 2132244840 is an apocalyptic number.

132244840 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 132244840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187246080).

132244840 is an abundant number, since it is smaller than the sum of its proper divisors (242247320).

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

132244840 is a wasteful number, since it uses less digits than its factorization.

132244840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 132244840 is about 11499.7756499855. The cubic root of 132244840 is about 509.4789500925.

The spelling of 132244840 in words is "one hundred thirty-two million, two hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 47 52 56 65 70 91 94 104 130 140 182 188 235 260 280 329 364 376 455 470 520 611 658 728 773 910 940 1222 1316 1546 1645 1820 1880 2444 2632 3055 3092 3290 3640 3865 4277 4888 5411 6110 6184 6580 7730 8554 10049 10822 12220 13160 15460 17108 20098 21385 21644 24440 27055 30920 34216 36331 40196 42770 43288 50245 54110 70343 72662 80392 85540 100490 108220 140686 145324 171080 181655 200980 216440 254317 281372 290648 351715 363310 401960 472303 508634 562744 703430 726620 944606 1017268 1271585 1406860 1453240 1889212 2034536 2361515 2543170 2813720 3306121 3778424 4723030 5086340 6612242 9446060 10172680 13224484 16530605 18892120 26448968 33061210 66122420 132244840