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10045296 = 243423337
BaseRepresentation
bin100110010100…
…011101110000
3200220100120000
4212110131300
510032422141
6555150000
7151245402
oct46243560
920810500
1010045296
1157411a8
123445300
132109381
141496b72
15d365b6
hex994770

10045296 has 100 divisors (see below), whose sum is σ = 30428112. Its totient is φ = 3193344.

The previous prime is 10045289. The next prime is 10045309. The reversal of 10045296 is 69254001.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 29640 + ... + 29976.

Almost surely, 210045296 is an apocalyptic number.

10045296 is a gapful number since it is divisible by the number (16) 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 10045296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214056).

10045296 is an abundant number, since it is smaller than the sum of its proper divisors (20382816).

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

10045296 is a wasteful number, since it uses less digits than its factorization.

10045296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10045296 is about 3169.4314947637. The cubic root of 10045296 is about 215.7682700019.

Adding to 10045296 its reverse (69254001), we get a palindrome (79299297).

The spelling of 10045296 in words is "ten million, forty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 337 368 414 432 552 621 648 674 828 1011 1104 1242 1296 1348 1656 1863 2022 2484 2696 3033 3312 3726 4044 4968 5392 6066 7452 7751 8088 9099 9936 12132 14904 15502 16176 18198 23253 24264 27297 29808 31004 36396 46506 48528 54594 62008 69759 72792 93012 109188 124016 139518 145584 186024 209277 218376 279036 372048 418554 436752 558072 627831 837108 1116144 1255662 1674216 2511324 3348432 5022648 10045296