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10247440 = 245729631
BaseRepresentation
bin100111000101…
…110100010000
3201021121211211
4213011310100
510110404230
61003345504
7153046630
oct47056420
921247754
1010247440
11586a065
123522294
13217a398
14150a6c0
15d7642a
hex9c5d10

10247440 has 80 divisors (see below), whose sum is σ = 28212480. Its totient is φ = 3386880.

The previous prime is 10247437. The next prime is 10247473. The reversal of 10247440 is 4474201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15925 + ... + 16555.

It is an arithmetic number, because the mean of its divisors is an integer number (352656).

Almost surely, 210247440 is an apocalyptic number.

10247440 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 10247440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106240).

10247440 is an abundant number, since it is smaller than the sum of its proper divisors (17965040).

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

10247440 is a wasteful number, since it uses less digits than its factorization.

10247440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 10247440 is about 3201.1622889194. The cubic root of 10247440 is about 217.2059884370.

It can be divided in two parts, 1024 and 7440, that added together give a square (8464 = 922).

The spelling of 10247440 in words is "ten million, two hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 631 812 1015 1160 1262 1624 2030 2320 2524 3155 3248 4060 4417 5048 6310 8120 8834 10096 12620 16240 17668 18299 22085 25240 35336 36598 44170 50480 70672 73196 88340 91495 128093 146392 176680 182990 256186 292784 353360 365980 512372 640465 731960 1024744 1280930 1463920 2049488 2561860 5123720 10247440