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10141516 = 22711191733
BaseRepresentation
bin100110101011…
…111101001100
3201002020112201
4212223331030
510044012031
61001211244
7152126050
oct46537514
921066481
1010141516
1157a7520
123490b24
1321410c8
1414bdc60
15d54d61
hex9abf4c

10141516 has 48 divisors (see below), whose sum is σ = 23304960. Its totient is φ = 3741120.

The previous prime is 10141499. The next prime is 10141517. The reversal of 10141516 is 61514101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 10141493 and 10141502.

It is not an unprimeable number, because it can be changed into a prime (10141517) 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, 4986 + ... + 6718.

It is an arithmetic number, because the mean of its divisors is an integer number (485520).

Almost surely, 210141516 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 10141516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11652480).

10141516 is an abundant number, since it is smaller than the sum of its proper divisors (13163444).

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

10141516 is a wasteful number, since it uses less digits than its factorization.

10141516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 10141516 is about 3184.5746968787. The cubic root of 10141516 is about 216.4550022311.

Adding to 10141516 its reverse (61514101), we get a palindrome (71655617).

The spelling of 10141516 in words is "ten million, one hundred forty-one thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 1733 2926 3466 5852 6932 12131 19063 24262 32927 38126 48524 65854 76252 131708 133441 230489 266882 362197 460978 533764 724394 921956 1448788 2535379 5070758 10141516