Search a number
-
+
104073312 = 2537154871
BaseRepresentation
bin1100011010000…
…00100001100000
321020211110202010
412031000201200
5203120321222
614154352520
72402415510
oct615004140
9236743663
10104073312
1153823902
122aa2b740
131873b855
14db71840
15920b80c
hex6340860

104073312 has 48 divisors (see below), whose sum is σ = 312221952. Its totient is φ = 29735040.

The previous prime is 104073289. The next prime is 104073313. The reversal of 104073312 is 213370401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104073313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76764 + ... + 78107.

It is an arithmetic number, because the mean of its divisors is an integer number (6504624).

Almost surely, 2104073312 is an apocalyptic number.

104073312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104073312 is an abundant number, since it is smaller than the sum of its proper divisors (208148640).

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

104073312 is a wasteful number, since it uses less digits than its factorization.

104073312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154891 (or 154883 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 104073312 is about 10201.6328104868. The cubic root of 104073312 is about 470.3774122617.

The spelling of 104073312 in words is "one hundred four million, seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 154871 309742 464613 619484 929226 1084097 1238968 1858452 2168194 2477936 3252291 3716904 4336388 4955872 6504582 7433808 8672776 13009164 14867616 17345552 26018328 34691104 52036656 104073312