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10139472 = 243372479
BaseRepresentation
bin100110101011…
…011101010000
3201002010202000
4212223131100
510043430342
61001154000
7152120100
oct46533520
921063660
1010139472
1157a5a32
12348b900
1321401b5
1414bd200
15d5444c
hex9ab750

10139472 has 120 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 2890944.

The previous prime is 10139453. The next prime is 10139477. The reversal of 10139472 is 27493101.

10139472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10139477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20929 + ... + 21407.

It is an arithmetic number, because the mean of its divisors is an integer number (282720).

Almost surely, 210139472 is an apocalyptic number.

10139472 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 10139472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

10139472 is an abundant number, since it is smaller than the sum of its proper divisors (23786928).

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

10139472 is a wasteful number, since it uses less digits than its factorization.

10139472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10139472 is about 3184.2537587322. The cubic root of 10139472 is about 216.4404592459.

The spelling of 10139472 in words is "ten million, one hundred thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 479 504 588 756 784 882 958 1008 1176 1323 1437 1512 1764 1916 2352 2646 2874 3024 3353 3528 3832 4311 5292 5748 6706 7056 7664 8622 10059 10584 11496 12933 13412 17244 20118 21168 22992 23471 25866 26824 30177 34488 40236 46942 51732 53648 60354 68976 70413 80472 90531 93884 103464 120708 140826 160944 181062 187768 206928 211239 241416 281652 362124 375536 422478 482832 563304 633717 724248 844956 1126608 1267434 1448496 1689912 2534868 3379824 5069736 10139472