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104531776 = 2617293313
BaseRepresentation
bin1100011101100…
…00011101000000
321021200202122021
412032300131000
5203230004101
614212251224
72406335236
oct616603500
9237622567
10104531776
11540072a8
122b010b14
131886c42b
14dc50956
15929c5a1
hex63b0740

104531776 has 56 divisors (see below), whose sum is σ = 227274120. Its totient is φ = 47480832.

The previous prime is 104531761. The next prime is 104531789. The reversal of 104531776 is 677135401.

It can be written as a sum of positive squares in 4 ways, for example, as 54405376 + 50126400 = 7376^2 + 7080^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29896 + ... + 33208.

Almost surely, 2104531776 is an apocalyptic number.

104531776 is a gapful number since it is divisible by the number (16) 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 104531776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113637060).

104531776 is an abundant number, since it is smaller than the sum of its proper divisors (122742344).

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

104531776 is a wasteful number, since it uses less digits than its factorization.

104531776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 104531776 is about 10224.0782469619. The cubic root of 104531776 is about 471.0671030711.

The spelling of 104531776 in words is "one hundred four million, five hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 464 493 544 928 986 1088 1856 1972 3313 3944 6626 7888 13252 15776 26504 31552 53008 56321 96077 106016 112642 192154 212032 225284 384308 450568 768616 901136 1537232 1633309 1802272 3074464 3266618 3604544 6148928 6533236 13066472 26132944 52265888 104531776