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10601008 = 2411293167
BaseRepresentation
bin101000011100…
…001000110000
3201221120211221
4220130020300
510203213013
61015114424
7156051505
oct50341060
921846757
1010601008
115a90770
123672a14
1322722b2
14159d4ac
15de608d
hexa1c230

10601008 has 80 divisors (see below), whose sum is σ = 24284160. Its totient is φ = 4435200.

The previous prime is 10600969. The next prime is 10601011. The reversal of 10601008 is 80010601.

It is a super-2 number, since 2×106010082 = 224762741232128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10600982 and 10601000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158191 + ... + 158257.

It is an arithmetic number, because the mean of its divisors is an integer number (303552).

Almost surely, 210601008 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 10601008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142080).

10601008 is an abundant number, since it is smaller than the sum of its proper divisors (13683152).

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

10601008 is a wasteful number, since it uses less digits than its factorization.

10601008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 10601008 is about 3255.9189179094. The cubic root of 10601008 is about 219.6758863725.

Adding to 10601008 its reverse (80010601), we get a palindrome (90611609).

The spelling of 10601008 in words is "ten million, six hundred one thousand, eight".

Divisors: 1 2 4 8 11 16 22 29 31 44 58 62 67 88 116 124 134 176 232 248 268 319 341 464 496 536 638 682 737 899 1072 1276 1364 1474 1798 1943 2077 2552 2728 2948 3596 3886 4154 5104 5456 5896 7192 7772 8308 9889 11792 14384 15544 16616 19778 21373 22847 31088 33232 39556 42746 45694 60233 79112 85492 91388 120466 158224 170984 182776 240932 341968 365552 481864 662563 963728 1325126 2650252 5300504 10601008