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10181052 = 22347672
BaseRepresentation
bin100110110101…
…100110111100
3201011020210000
4212311212330
510101243202
61002114300
7152352240
oct46654674
921136700
1010181052
1158241a2
1234ab990
1321560bb
1414d0420
15d6191c
hex9b59bc

10181052 has 90 divisors (see below), whose sum is σ = 30878232. Its totient is φ = 2865456.

The previous prime is 10181047. The next prime is 10181057. The reversal of 10181052 is 25018101.

It is an interprime number because it is at equal distance from previous prime (10181047) and next prime (10181057).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10181057) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 151923 + ... + 151989.

Almost surely, 210181052 is an apocalyptic number.

10181052 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 10181052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15439116).

10181052 is an abundant number, since it is smaller than the sum of its proper divisors (20697180).

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

10181052 is an equidigital number, since it uses as much as digits as its factorization.

10181052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10181052 is about 3190.7760811439. The cubic root of 10181052 is about 216.7359158004.

Adding to 10181052 its reverse (25018101), we get a palindrome (35199153).

The spelling of 10181052 in words is "ten million, one hundred eighty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 67 81 84 108 126 134 162 189 201 252 268 324 378 402 469 567 603 756 804 938 1134 1206 1407 1809 1876 2268 2412 2814 3618 4221 4489 5427 5628 7236 8442 8978 10854 12663 13467 16884 17956 21708 25326 26934 31423 37989 40401 50652 53868 62846 75978 80802 94269 121203 125692 151956 161604 188538 242406 282807 363609 377076 484812 565614 727218 848421 1131228 1454436 1696842 2545263 3393684 5090526 10181052