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104660532 = 22337113649
BaseRepresentation
bin1100011110011…
…11111000110100
321021221022021000
412033033320310
5203243114112
614215123300
72410412514
oct617177064
9237838230
10104660532
1154095009
122b073530
13188b5c12
14dc85844
1592c57dc
hex63cfe34

104660532 has 48 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 34392960.

The previous prime is 104660527. The next prime is 104660537. The reversal of 104660532 is 235066401.

104660532 is a `hidden beast` number, since 10 + 46 + 605 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (104660527) and next prime (104660537).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104660496 and 104660505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104660537) 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, 844 + ... + 14492.

It is an arithmetic number, because the mean of its divisors is an integer number (5733000).

Almost surely, 2104660532 is an apocalyptic number.

104660532 is a gapful number since it is divisible by the number (12) 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 104660532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

104660532 is an abundant number, since it is smaller than the sum of its proper divisors (170523468).

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

104660532 is a wasteful number, since it uses less digits than its factorization.

104660532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13733 (or 13725 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 104660532 is about 10230.3730137273. The cubic root of 104660532 is about 471.2604344914.

The spelling of 104660532 in words is "one hundred four million, six hundred sixty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 7668 13649 27298 40947 54596 81894 122841 163788 245682 368523 491364 737046 969079 1474092 1938158 2907237 3876316 5814474 8721711 11628948 17443422 26165133 34886844 52330266 104660532