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103004928 = 28321319181
BaseRepresentation
bin1100010001110…
…11101100000000
321011211012012100
412020323230000
5202332124203
614115430400
72360345625
oct610735400
9234735170
10103004928
1153164144
122a5b5400
1318456480
14d97434c
159099ea3
hex623bb00

103004928 has 216 divisors, whose sum is σ = 338527280. Its totient is φ = 29859840.

The previous prime is 103004927. The next prime is 103004933. The reversal of 103004928 is 829400301.

It is a super-2 number, since 2×1030049282 = 21220030384570368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103004927) 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 23 ways as a sum of consecutive naturals, for example, 568998 + ... + 569178.

Almost surely, 2103004928 is an apocalyptic number.

103004928 is a gapful number since it is divisible by the number (18) 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 103004928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169263640).

103004928 is an abundant number, since it is smaller than the sum of its proper divisors (235522352).

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

103004928 is a wasteful number, since it uses less digits than its factorization.

103004928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103004928 is about 10149.1343473224. The cubic root of 103004928 is about 468.7622904511.

The spelling of 103004928 in words is "one hundred three million, four thousand, nine hundred twenty-eight".