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10378242 = 2327312657
BaseRepresentation
bin100111100101…
…110000000010
3201112021021100
4213211300002
510124100432
61010235230
7154133160
oct47456002
921467240
1010378242
115949366
123585b16
1321c4a94
141542230
15da007c
hex9e5c02

10378242 has 48 divisors (see below), whose sum is σ = 26537472. Its totient is φ = 2868480.

The previous prime is 10378229. The next prime is 10378253. The reversal of 10378242 is 24287301.

It is a congruent number.

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, 2578 + ... + 5234.

It is an arithmetic number, because the mean of its divisors is an integer number (552864).

Almost surely, 210378242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10378242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13268736).

10378242 is an abundant number, since it is smaller than the sum of its proper divisors (16159230).

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

10378242 is a wasteful number, since it uses less digits than its factorization.

10378242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10378242 is about 3221.5278983737. The cubic root of 10378242 is about 218.1262490111.

The spelling of 10378242 in words is "ten million, three hundred seventy-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 2657 3906 5314 7971 15942 18599 23913 37198 47826 55797 82367 111594 164734 167391 247101 334782 494202 576569 741303 1153138 1482606 1729707 3459414 5189121 10378242