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132005748 = 22371797953
BaseRepresentation
bin1111101111000…
…11111101110100
3100012101120211210
413313203331310
5232243140443
621033201420
73162013260
oct767437564
9305346753
10132005748
1168571966
1238260270
132146b714
14137630a0
15b8c7c33
hex7de3f74

132005748 has 96 divisors (see below), whose sum is σ = 376959744. Its totient is φ = 35094528.

The previous prime is 132005729. The next prime is 132005777. The reversal of 132005748 is 847500231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138040 + ... + 138992.

It is an arithmetic number, because the mean of its divisors is an integer number (3926664).

Almost surely, 2132005748 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 132005748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188479872).

132005748 is an abundant number, since it is smaller than the sum of its proper divisors (244953996).

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

132005748 is a wasteful number, since it uses less digits than its factorization.

132005748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 132005748 is about 11489.3754399445. The cubic root of 132005748 is about 509.1717274562.

Adding to 132005748 its reverse (847500231), we get a palindrome (979505979).

The spelling of 132005748 in words is "one hundred thirty-two million, five thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 97 102 119 194 204 238 291 357 388 476 582 679 714 953 1164 1358 1428 1649 1906 2037 2716 2859 3298 3812 4074 4947 5718 6596 6671 8148 9894 11436 11543 13342 16201 19788 20013 23086 26684 32402 34629 40026 46172 48603 64804 69258 80052 92441 97206 113407 138516 184882 194412 226814 277323 340221 369764 453628 554646 647087 680442 1109292 1294174 1360884 1571497 1941261 2588348 3142994 3882522 4714491 6285988 7765044 9428982 11000479 18857964 22000958 33001437 44001916 66002874 132005748