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132004488 = 233711611171
BaseRepresentation
bin1111101111000…
…11101010001000
3100012101112010010
413313203222020
5232243120423
621033151520
73162006510
oct767435210
9305345103
10132004488
1168570a20
123825b5a0
132146ac85
1413762840
15b8c7693
hex7de3a88

132004488 has 128 divisors (see below), whose sum is σ = 418544640. Its totient is φ = 33696000.

The previous prime is 132004471. The next prime is 132004489. The reversal of 132004488 is 884400231.

It is not an unprimeable number, because it can be changed into a prime (132004489) 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, 112143 + ... + 113313.

It is an arithmetic number, because the mean of its divisors is an integer number (3269880).

Almost surely, 2132004488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132004488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209272320).

132004488 is an abundant number, since it is smaller than the sum of its proper divisors (286540152).

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

132004488 is a wasteful number, since it uses less digits than its factorization.

132004488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 132004488 is about 11489.3206065459. The cubic root of 132004488 is about 509.1701074297.

The spelling of 132004488 in words is "one hundred thirty-two million, four thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 61 66 77 84 88 122 132 154 168 183 231 244 264 308 366 427 462 488 616 671 732 854 924 1171 1281 1342 1464 1708 1848 2013 2342 2562 2684 3416 3513 4026 4684 4697 5124 5368 7026 8052 8197 9368 9394 10248 12881 14052 14091 16104 16394 18788 24591 25762 28104 28182 32788 37576 38643 49182 51524 56364 65576 71431 77286 90167 98364 103048 112728 142862 154572 180334 196728 214293 270501 285724 309144 360668 428586 500017 541002 571448 721336 785741 857172 1000034 1082004 1500051 1571482 1714344 2000068 2164008 2357223 3000102 3142964 4000136 4714446 5500187 6000204 6285928 9428892 11000374 12000408 16500561 18857784 22000748 33001122 44001496 66002244 132004488