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107561484 = 22325989569
BaseRepresentation
bin1100110100101…
…00001000001100
321111101200121200
412122110020030
5210013431414
614401225500
72444154222
oct632241014
9244350550
10107561484
1155796598
1230032290
1319390464
14103dcb12
15969a109
hex669420c

107561484 has 72 divisors (see below), whose sum is σ = 280098000. Its totient is φ = 34788864.

The previous prime is 107561473. The next prime is 107561497. The reversal of 107561484 is 484165701.

It is a happy number.

107561484 is a `hidden beast` number, since 10 + 7 + 561 + 4 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188752 + ... + 189320.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2107561484 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 107561484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140049000).

107561484 is an abundant number, since it is smaller than the sum of its proper divisors (172536516).

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

107561484 is a wasteful number, since it uses less digits than its factorization.

107561484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 107561484 is about 10371.1852745961. The cubic root of 107561484 is about 475.5749035308.

The spelling of 107561484 in words is "one hundred seven million, five hundred sixty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 89 118 177 178 236 267 354 356 531 534 569 708 801 1062 1068 1138 1602 1707 2124 2276 3204 3414 5121 5251 6828 10242 10502 15753 20484 21004 31506 33571 47259 50641 63012 67142 94518 100713 101282 134284 151923 189036 201426 202564 302139 303846 402852 455769 604278 607692 911538 1208556 1823076 2987819 5975638 8963457 11951276 17926914 26890371 35853828 53780742 107561484