Search a number
-
+
104149728 = 2532834357
BaseRepresentation
bin1100011010100…
…11001011100000
321020222100120100
412031103023200
5203130242403
614200142400
72403154344
oct615231340
9236870510
10104149728
1153876261
122aa67a00
1318767577
14db91624
1592242a3
hex63532e0

104149728 has 72 divisors (see below), whose sum is σ = 299812968. Its totient is φ = 34290432.

The previous prime is 104149723. The next prime is 104149733. The reversal of 104149728 is 827941401.

It is an interprime number because it is at equal distance from previous prime (104149723) and next prime (104149733).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 104149692 and 104149701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104149723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21726 + ... + 26082.

It is an arithmetic number, because the mean of its divisors is an integer number (4164069).

Almost surely, 2104149728 is an apocalyptic number.

104149728 is a gapful number since it is divisible by the number (18) 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 104149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149906484).

104149728 is an abundant number, since it is smaller than the sum of its proper divisors (195663240).

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

104149728 is a wasteful number, since it uses less digits than its factorization.

104149728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 104149728 is about 10205.3774060541. The cubic root of 104149728 is about 470.4925092250.

The spelling of 104149728 in words is "one hundred four million, one hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 4357 5976 7968 8714 11952 13071 17428 23904 26142 34856 39213 52284 69712 78426 104568 139424 156852 209136 313704 361631 418272 627408 723262 1084893 1254816 1446524 2169786 2893048 3254679 4339572 5786096 6509358 8679144 11572192 13018716 17358288 26037432 34716576 52074864 104149728