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10300704 = 253611759
BaseRepresentation
bin100111010010…
…110100100000
3201101022220120
4213102310200
510114110304
61004440240
7153361131
oct47226440
921338816
1010300704
1158a6087
123549080
1321986bb
141521c88
15d870d9
hex9d2d20

10300704 has 48 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 3375360.

The previous prime is 10300699. The next prime is 10300729. The reversal of 10300704 is 40700301.

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

It is a super-2 number, since 2×103007042 = 212209005791232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4977 + ... + 6735.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 210300704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

10300704 is an abundant number, since it is smaller than the sum of its proper divisors (17197536).

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

10300704 is a wasteful number, since it uses less digits than its factorization.

10300704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 10300704 is about 3209.4709844459. The cubic root of 10300704 is about 217.5816683663.

The spelling of 10300704 in words is "ten million, three hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1759 1952 2928 3518 5277 5856 7036 10554 14072 21108 28144 42216 56288 84432 107299 168864 214598 321897 429196 643794 858392 1287588 1716784 2575176 3433568 5150352 10300704