Search a number
-
+
10704920 = 235318997
BaseRepresentation
bin101000110101…
…100000011000
3202010212101112
4220311200120
510220024140
61021235452
7156663452
oct50654030
922125345
1010704920
116051846
123702b88
1322aa695
1415c92d2
15e16c65
hexa35818

10704920 has 64 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 4055040.

The previous prime is 10704853. The next prime is 10704929. The reversal of 10704920 is 2940701.

It is a super-2 number, since 2×107049202 = 229190624412800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10704929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110312 + ... + 110408.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 210704920 is an apocalyptic number.

10704920 is a gapful number since it is divisible by the number (10) 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 10704920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

10704920 is an abundant number, since it is smaller than the sum of its proper divisors (14696680).

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

10704920 is a wasteful number, since it uses less digits than its factorization.

10704920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 10704920 is about 3271.8374042730. The cubic root of 10704920 is about 220.3913145744.

The spelling of 10704920 in words is "ten million, seven hundred four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 89 97 124 155 178 194 248 310 356 388 445 485 620 712 776 890 970 1240 1780 1940 2759 3007 3560 3880 5518 6014 8633 11036 12028 13795 15035 17266 22072 24056 27590 30070 34532 43165 55180 60140 69064 86330 110360 120280 172660 267623 345320 535246 1070492 1338115 2140984 2676230 5352460 10704920