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104040612 = 223413171453
BaseRepresentation
bin1100011001110…
…00100010100100
321020202210220000
412030320202210
5203113244422
614153541300
72402221254
oct614704244
9236683800
10104040612
1153801285
122aa14830
13187299c0
14db63964
159201cac
hex63388a4

104040612 has 120 divisors (see below), whose sum is σ = 310347576. Its totient is φ = 30108672.

The previous prime is 104040611. The next prime is 104040623. The reversal of 104040612 is 216040401.

104040612 is a `hidden beast` number, since 10 + 4 + 0 + 40 + 612 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39012516 + 65028096 = 6246^2 + 8064^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (104040611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70878 + ... + 72330.

Almost surely, 2104040612 is an apocalyptic number.

104040612 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 104040612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155173788).

104040612 is an abundant number, since it is smaller than the sum of its proper divisors (206306964).

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

104040612 is a wasteful number, since it uses less digits than its factorization.

104040612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104040612 is about 10200.0299999559. The cubic root of 104040612 is about 470.3281426577.

The spelling of 104040612 in words is "one hundred four million, forty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 306 324 351 442 459 468 612 663 702 884 918 1053 1326 1377 1404 1453 1836 1989 2106 2652 2754 2906 3978 4212 4359 5508 5812 5967 7956 8718 11934 13077 17436 17901 18889 23868 24701 26154 35802 37778 39231 49402 52308 56667 71604 74103 75556 78462 98804 113334 117693 148206 156924 170001 222309 226668 235386 296412 321113 340002 444618 470772 510003 642226 666927 680004 889236 963339 1020006 1284452 1333854 1530009 1926678 2000781 2040012 2667708 2890017 3060018 3853356 4001562 5780034 6120036 8003124 8670051 11560068 17340102 26010153 34680204 52020306 104040612