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10293440 = 265191693
BaseRepresentation
bin100111010001…
…000011000000
3201100221221112
4213101003000
510113342230
61004342452
7153331013
oct47210300
921327845
1010293440
1158a0683
123544a28
1321952c1
14151d37a
15d84d95
hex9d10c0

10293440 has 56 divisors (see below), whose sum is σ = 25816560. Its totient is φ = 3898368.

The previous prime is 10293433. The next prime is 10293461. The reversal of 10293440 is 4439201.

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, 5234 + ... + 6926.

It is an arithmetic number, because the mean of its divisors is an integer number (461010).

Almost surely, 210293440 is an apocalyptic number.

10293440 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 10293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908280).

10293440 is an abundant number, since it is smaller than the sum of its proper divisors (15523120).

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

10293440 is a wasteful number, since it uses less digits than its factorization.

10293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10293440 is about 3208.3391341939. The cubic root of 10293440 is about 217.5305105391.

The spelling of 10293440 in words is "ten million, two hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 1693 3040 3386 6080 6772 8465 13544 16930 27088 32167 33860 54176 64334 67720 108352 128668 135440 160835 257336 270880 321670 514672 541760 643340 1029344 1286680 2058688 2573360 5146720 10293440