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10031076 = 22321173347
BaseRepresentation
bin100110010000…
…111111100100
3200212122001100
4212100333210
510031443301
6555000100
7151156056
oct46207744
920778040
1010031076
115731550
123439030
132102a63
1414918d6
15d32286
hex990fe4

10031076 has 72 divisors (see below), whose sum is σ = 28121184. Its totient is φ = 2989440.

The previous prime is 10031053. The next prime is 10031113. The reversal of 10031076 is 67013001.

10031076 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28735 + ... + 29081.

It is an arithmetic number, because the mean of its divisors is an integer number (390572).

Almost surely, 210031076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14060592).

10031076 is an abundant number, since it is smaller than the sum of its proper divisors (18090108).

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

10031076 is a wasteful number, since it uses less digits than its factorization.

10031076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10031076 is about 3167.1873957819. The cubic root of 10031076 is about 215.6664089345. Note that the first 3 decimals are identical.

Adding to 10031076 its reverse (67013001), we get a palindrome (77044077).

The spelling of 10031076 in words is "ten million, thirty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 347 396 438 657 694 803 876 1041 1314 1388 1606 2082 2409 2628 3123 3212 3817 4164 4818 6246 7227 7634 9636 11451 12492 14454 15268 22902 25331 28908 34353 45804 50662 68706 75993 101324 137412 151986 227979 278641 303972 455958 557282 835923 911916 1114564 1671846 2507769 3343692 5015538 10031076