Search a number
-
+
10378240 = 21052027
BaseRepresentation
bin100111100101…
…110000000000
3201112021021021
4213211300000
510124100430
61010235224
7154133155
oct47456000
921467237
1010378240
115949364
123585b14
1321c4a92
14154222c
15da007a
hex9e5c00

10378240 has 44 divisors (see below), whose sum is σ = 24907896. Its totient is φ = 4149248.

The previous prime is 10378229. The next prime is 10378253. The reversal of 10378240 is 4287301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4107 + ... + 6133.

Almost surely, 210378240 is an apocalyptic number.

10378240 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 10378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453948).

10378240 is an abundant number, since it is smaller than the sum of its proper divisors (14529656).

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

10378240 is an equidigital number, since it uses as much as digits as its factorization.

10378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 10378240 is about 3221.5275879620. The cubic root of 10378240 is about 218.1262349993.

The spelling of 10378240 in words is "ten million, three hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2027 2560 4054 5120 8108 10135 16216 20270 32432 40540 64864 81080 129728 162160 259456 324320 518912 648640 1037824 1297280 2075648 2594560 5189120 10378240