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10724472 = 23321121231
BaseRepresentation
bin101000111010…
…010001111000
3202011212012200
4220322101320
510221140342
61021510200
7160104453
oct50722170
922155180
1010724472
116065500
123712360
1322b6555
1415d249a
15e1c94c
hexa3a478

10724472 has 72 divisors (see below), whose sum is σ = 31951920. Its totient is φ = 3247200.

The previous prime is 10724453. The next prime is 10724521. The reversal of 10724472 is 27442701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8097 + ... + 9327.

Almost surely, 210724472 is an apocalyptic number.

10724472 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 10724472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975960).

10724472 is an abundant number, since it is smaller than the sum of its proper divisors (21227448).

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

10724472 is a wasteful number, since it uses less digits than its factorization.

10724472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 10724472 is about 3274.8239647346. The cubic root of 10724472 is about 220.5254108651.

The spelling of 10724472 in words is "ten million, seven hundred twenty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1231 1452 2178 2462 2904 3693 4356 4924 7386 8712 9848 11079 13541 14772 22158 27082 29544 40623 44316 54164 81246 88632 108328 121869 148951 162492 243738 297902 324984 446853 487476 595804 893706 974952 1191608 1340559 1787412 2681118 3574824 5362236 10724472