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10857378 = 237312269
BaseRepresentation
bin101001011010…
…101110100010
3202102121112010
4221122232202
510234414003
61024413350
7161200110
oct51325642
922377463
1010857378
116146344
123777256
132331bac
141628ab0
15e47003
hexa5aba2

10857378 has 48 divisors (see below), whose sum is σ = 25738560. Its totient is φ = 2990880.

The previous prime is 10857361. The next prime is 10857433. The reversal of 10857378 is 87375801.

10857378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40228 + ... + 40496.

It is an arithmetic number, because the mean of its divisors is an integer number (536220).

Almost surely, 210857378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10857378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869280).

10857378 is an abundant number, since it is smaller than the sum of its proper divisors (14881182).

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

10857378 is a wasteful number, since it uses less digits than its factorization.

10857378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 10857378 is about 3295.0535655737. The cubic root of 10857378 is about 221.4326475440.

The spelling of 10857378 in words is "ten million, eight hundred fifty-seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 269 434 538 651 807 961 1302 1614 1883 1922 2883 3766 5649 5766 6727 8339 11298 13454 16678 20181 25017 40362 50034 58373 116746 175119 258509 350238 517018 775527 1551054 1809563 3619126 5428689 10857378