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104738000 = 245352369
BaseRepresentation
bin1100011111000…
…10110011010000
321022002020112012
412033202303100
5203303104000
614220522052
72411154413
oct617426320
9238066465
10104738000
1154138234
122b0b0328
1318912263
14dca5b7a
1592dd735
hex63e2cd0

104738000 has 40 divisors (see below), whose sum is σ = 253261320. Its totient is φ = 41894400.

The previous prime is 104737961. The next prime is 104738059. The reversal of 104738000 is 837401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1024144 + 103713856 = 1012^2 + 10184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24185 + ... + 28184.

It is an arithmetic number, because the mean of its divisors is an integer number (6331533).

Almost surely, 2104738000 is an apocalyptic number.

104738000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104738000 is an abundant number, since it is smaller than the sum of its proper divisors (148523320).

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

104738000 is an equidigital number, since it uses as much as digits as its factorization.

104738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52392 (or 52376 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 104738000 is about 10234.1584900763. The cubic root of 104738000 is about 471.3766788830.

The spelling of 104738000 in words is "one hundred four million, seven hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 52369 104738 209476 261845 418952 523690 837904 1047380 1309225 2094760 2618450 4189520 5236900 6546125 10473800 13092250 20947600 26184500 52369000 104738000