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10471272 = 2337157397
BaseRepresentation
bin100111111100…
…011101101000
3201200222212220
4213330131220
510140040042
61012234040
7155001330
oct47743550
921628786
1010471272
115a02249
12360b920
132228226
1415680c0
15dbc8ec
hex9fc768

10471272 has 64 divisors (see below), whose sum is σ = 30184320. Its totient is φ = 2965248.

The previous prime is 10471267. The next prime is 10471309. The reversal of 10471272 is 27217401.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 26178 + ... + 26574.

It is an arithmetic number, because the mean of its divisors is an integer number (471630).

Almost surely, 210471272 is an apocalyptic number.

10471272 is a gapful number since it is divisible by the number (12) 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 10471272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092160).

10471272 is an abundant number, since it is smaller than the sum of its proper divisors (19713048).

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

10471272 is a wasteful number, since it uses less digits than its factorization.

10471272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 10471272 is about 3235.9344863578. The cubic root of 10471272 is about 218.7760685123.

Adding to 10471272 its reverse (27217401), we get a palindrome (37688673).

The spelling of 10471272 in words is "ten million, four hundred seventy-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 397 471 628 794 942 1099 1191 1256 1588 1884 2198 2382 2779 3176 3297 3768 4396 4764 5558 6594 8337 8792 9528 11116 13188 16674 22232 26376 33348 62329 66696 124658 186987 249316 373974 436303 498632 747948 872606 1308909 1495896 1745212 2617818 3490424 5235636 10471272