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10514124 = 223529373
BaseRepresentation
bin101000000110…
…111011001100
3201210011200000
4220012323030
510142422444
61013204300
7155240265
oct50067314
921704600
1010514124
115a31465
123630690
13224189a
14157996c
15dca469
hexa06ecc

10514124 has 72 divisors (see below), whose sum is σ = 28588560. Its totient is φ = 3374784.

The previous prime is 10514123. The next prime is 10514129. The reversal of 10514124 is 42141501.

It is a super-2 number, since 2×105141242 = 221093606974752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10514097 and 10514106.

It is not an unprimeable number, because it can be changed into a prime (10514123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28002 + ... + 28374.

Almost surely, 210514124 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 10514124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14294280).

10514124 is an abundant number, since it is smaller than the sum of its proper divisors (18074436).

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

10514124 is a wasteful number, since it uses less digits than its factorization.

10514124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10514124 is about 3242.5489973168. The cubic root of 10514124 is about 219.0740976513.

Adding to 10514124 its reverse (42141501), we get a palindrome (52655625).

The spelling of 10514124 in words is "ten million, five hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 373 486 522 746 783 972 1044 1119 1492 1566 2238 2349 3132 3357 4476 4698 6714 7047 9396 10071 10817 13428 14094 20142 21634 28188 30213 32451 40284 43268 60426 64902 90639 97353 120852 129804 181278 194706 292059 362556 389412 584118 876177 1168236 1752354 2628531 3504708 5257062 10514124