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132161016 = 23313439851
BaseRepresentation
bin1111110000010…
…01110111111000
3100012200110211110
413320021313320
5232313123031
621040400320
73163231041
oct770116770
9305613743
10132161016
1168668589
12383160a0
13214c42b0
14137a38c8
15b908c46
hex7e09df8

132161016 has 64 divisors (see below), whose sum is σ = 364129920. Its totient is φ = 39715200.

The previous prime is 132161011. The next prime is 132161021. The reversal of 132161016 is 610161231.

It is an interprime number because it is at equal distance from previous prime (132161011) and next prime (132161021).

It is a junction number, because it is equal to n+sod(n) for n = 132160983 and 132161001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132161011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8491 + ... + 18341.

It is an arithmetic number, because the mean of its divisors is an integer number (5689530).

Almost surely, 2132161016 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 132161016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182064960).

132161016 is an abundant number, since it is smaller than the sum of its proper divisors (231968904).

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

132161016 is a wasteful number, since it uses less digits than its factorization.

132161016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9916 (or 9912 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 132161016 is about 11496.1304794265. The cubic root of 132161016 is about 509.3712821488.

The spelling of 132161016 in words is "one hundred thirty-two million, one hundred sixty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 9851 13416 19702 29553 39404 59106 78808 118212 128063 236424 256126 384189 423593 512252 768378 847186 1024504 1270779 1536756 1694372 2541558 3073512 3388744 5083116 5506709 10166232 11013418 16520127 22026836 33040254 44053672 66080508 132161016