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104112432 = 2433401601
BaseRepresentation
bin1100011010010…
…10000100110000
321020220110102000
412031022010300
5203123044212
614155254000
72402640534
oct615120460
9236813360
10104112432
1153850236
122aa4a300
13187535b8
14db81bc4
1592181dc
hex634a130

104112432 has 80 divisors (see below), whose sum is σ = 300084960. Its totient is φ = 34560000.

The previous prime is 104112431. The next prime is 104112451. The reversal of 104112432 is 234211401.

104112432 is a `hidden beast` number, since 10 + 411 + 243 + 2 = 666.

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 (104112431) 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, 172932 + ... + 173532.

It is an arithmetic number, because the mean of its divisors is an integer number (3751062).

Almost surely, 2104112432 is an apocalyptic number.

104112432 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 104112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150042480).

104112432 is an abundant number, since it is smaller than the sum of its proper divisors (195972528).

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

104112432 is a wasteful number, since it uses less digits than its factorization.

104112432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1007 counting only the distinct ones).

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

The square root of 104112432 is about 10203.5499704760. The cubic root of 104112432 is about 470.4363414239.

Adding to 104112432 its reverse (234211401), we get a palindrome (338323833).

The spelling of 104112432 in words is "one hundred four million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 401 432 601 802 1202 1203 1604 1803 2404 2406 3208 3606 3609 4808 4812 5409 6416 7212 7218 9616 9624 10818 10827 14424 14436 16227 19248 21636 21654 28848 28872 32454 43272 43308 57744 64908 86544 86616 129816 173232 241001 259632 482002 723003 964004 1446006 1928008 2169009 2892012 3856016 4338018 5784024 6507027 8676036 11568048 13014054 17352072 26028108 34704144 52056216 104112432