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10045056 = 273737101
BaseRepresentation
bin100110010100…
…011010000000
3200220100020010
4212110122000
510032420211
6555144520
7151244610
oct46243200
920810203
1010045056
115740aaa
123445140
132109228
141496a40
15d364a6
hex994680

10045056 has 128 divisors (see below), whose sum is σ = 31628160. Its totient is φ = 2764800.

The previous prime is 10045051. The next prime is 10045069. The reversal of 10045056 is 65054001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×100450563 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99406 + ... + 99506.

It is an arithmetic number, because the mean of its divisors is an integer number (247095).

Almost surely, 210045056 is an apocalyptic number.

10045056 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 10045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814080).

10045056 is an abundant number, since it is smaller than the sum of its proper divisors (21583104).

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

10045056 is a wasteful number, since it uses less digits than its factorization.

10045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 10045056 is about 3169.3936328579. The cubic root of 10045056 is about 215.7665516256.

Adding to 10045056 its reverse (65054001), we get a palindrome (75099057).

The spelling of 10045056 in words is "ten million, forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 101 111 112 128 148 168 192 202 222 224 259 296 303 336 384 404 444 448 518 592 606 672 707 777 808 888 896 1036 1184 1212 1344 1414 1554 1616 1776 2072 2121 2368 2424 2688 2828 3108 3232 3552 3737 4144 4242 4736 4848 5656 6216 6464 7104 7474 8288 8484 9696 11211 11312 12432 12928 14208 14948 16576 16968 19392 22422 22624 24864 26159 29896 33152 33936 38784 44844 45248 49728 52318 59792 67872 78477 89688 90496 99456 104636 119584 135744 156954 179376 209272 239168 271488 313908 358752 418544 478336 627816 717504 837088 1255632 1435008 1674176 2511264 3348352 5022528 10045056