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132710046 = 23723374779
BaseRepresentation
bin1111110100011…
…11111010011110
3100020201100221220
413322033322132
5232433210141
621100234210
73201005520
oct772177236
9306640856
10132710046
1168a03027
123853b966
1321657171
14138a7a10
15b9b6766
hex7e8fe9e

132710046 has 128 divisors (see below), whose sum is σ = 336199680. Its totient is φ = 34100352.

The previous prime is 132710021. The next prime is 132710077. The reversal of 132710046 is 640017231.

It is a super-2 number, since 2×1327100462 = 35223912618644232, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132709998 and 132710025.

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 63 ways as a sum of consecutive naturals, for example, 1679835 + ... + 1679913.

It is an arithmetic number, because the mean of its divisors is an integer number (2626560).

Almost surely, 2132710046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132710046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168099840).

132710046 is an abundant number, since it is smaller than the sum of its proper divisors (203489634).

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

132710046 is a wasteful number, since it uses less digits than its factorization.

132710046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 132710046 is about 11519.9846354064. The cubic root of 132710046 is about 510.0756596710.

Adding to 132710046 its reverse (640017231), we get a palindrome (772727277).

The spelling of 132710046 in words is "one hundred thirty-two million, seven hundred ten thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 47 69 74 79 94 111 138 141 158 161 222 237 259 282 322 329 474 483 518 553 658 777 851 966 987 1081 1106 1554 1659 1702 1739 1817 1974 2162 2553 2923 3243 3318 3478 3634 3713 5106 5217 5451 5846 5957 6486 7426 7567 8769 10434 10902 11139 11914 12173 12719 15134 17538 17871 20461 22278 22701 24346 25438 25991 35742 36519 38157 39997 40922 45402 51982 61383 67229 73038 76314 77973 79994 85399 119991 122766 134458 137381 155946 170798 201687 239982 256197 274762 279979 403374 412143 470603 512394 559958 597793 824286 839937 941206 961667 1195586 1411809 1679874 1793379 1923334 2823618 2885001 3159763 3586758 5770002 6319526 9479289 18958578 22118341 44236682 66355023 132710046