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10030968 = 23321271097
BaseRepresentation
bin100110010000…
…111101111000
3200212121220100
4212100331320
510031442333
6554555400
7151155543
oct46207570
920777810
1010030968
115731462
123438b60
1321029ac
14149185a
15d32213
hex990f78

10030968 has 48 divisors (see below), whose sum is σ = 27406080. Its totient is φ = 3314304.

The previous prime is 10030957. The next prime is 10030973. The reversal of 10030968 is 86903001.

10030968 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8596 + ... + 9692.

It is an arithmetic number, because the mean of its divisors is an integer number (570960).

Almost surely, 210030968 is an apocalyptic number.

10030968 is a gapful number since it is divisible by the number (18) 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 10030968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13703040).

10030968 is an abundant number, since it is smaller than the sum of its proper divisors (17375112).

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

10030968 is a wasteful number, since it uses less digits than its factorization.

10030968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10030968 is about 3167.1703459082. The cubic root of 10030968 is about 215.6656349379.

Adding to 10030968 its reverse (86903001), we get a palindrome (96933969).

The spelling of 10030968 in words is "ten million, thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1097 1143 1524 2194 2286 3048 3291 4388 4572 6582 8776 9144 9873 13164 19746 26328 39492 78984 139319 278638 417957 557276 835914 1114552 1253871 1671828 2507742 3343656 5015484 10030968