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10488912 = 2437193153
BaseRepresentation
bin101000000000…
…110001010000
3201201220002020
4220000301100
510141121122
61012451440
7155103630
oct50006120
921656066
1010488912
115a14525
123619b80
132233275
1415706c0
15dc2c5c
hexa00c50

10488912 has 160 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 2695680.

The previous prime is 10488899. The next prime is 10488937. The reversal of 10488912 is 21988401.

It is a super-2 number, since 2×104889122 = 220034549887488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197878 + ... + 197930.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 210488912 is an apocalyptic number.

10488912 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 10488912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

10488912 is an abundant number, since it is smaller than the sum of its proper divisors (23794608).

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

10488912 is a wasteful number, since it uses less digits than its factorization.

10488912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 10488912 is about 3238.6589817392. The cubic root of 10488912 is about 218.8988503096.

The spelling of 10488912 in words is "ten million, four hundred eighty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 53 56 57 62 76 84 93 106 112 114 124 133 152 159 168 186 212 217 228 248 266 304 318 336 371 372 399 424 434 456 496 532 589 636 651 742 744 798 848 868 912 1007 1064 1113 1178 1272 1302 1484 1488 1596 1643 1736 1767 2014 2128 2226 2356 2544 2604 2968 3021 3192 3286 3472 3534 4028 4123 4452 4712 4929 5208 5936 6042 6384 6572 7049 7068 8056 8246 8904 9424 9858 10416 11501 12084 12369 13144 14098 14136 16112 16492 17808 19716 21147 23002 24168 24738 26288 28196 28272 31217 32984 34503 39432 42294 46004 48336 49476 56392 62434 65968 69006 78864 84588 92008 93651 98952 112784 124868 138012 169176 184016 187302 197904 218519 249736 276024 338352 374604 437038 499472 552048 655557 749208 874076 1311114 1498416 1748152 2622228 3496304 5244456 10488912