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102640461 = 37112331907
BaseRepresentation
bin1100001111000…
…10101101001101
321011010200020120
412013202231031
5202233443321
614103535153
72354300220
oct607425515
9234120216
10102640461
1152a35330
122a45a4b9
1318359601
14d8bb5b7
159026ec6
hex61e2b4d

102640461 has 32 divisors (see below), whose sum is σ = 171445248. Its totient is φ = 53063040.

The previous prime is 102640459. The next prime is 102640463. The reversal of 102640461 is 164046201.

It is an interprime number because it is at equal distance from previous prime (102640459) and next prime (102640463).

It is not a de Polignac number, because 102640461 - 21 = 102640459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102640463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52870 + ... + 54776.

It is an arithmetic number, because the mean of its divisors is an integer number (5357664).

Almost surely, 2102640461 is an apocalyptic number.

102640461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102640461 is a deficient number, since it is larger than the sum of its proper divisors (68804787).

102640461 is a wasteful number, since it uses less digits than its factorization.

102640461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 102640461 is about 10131.1628651404. The cubic root of 102640461 is about 468.2087561269.

Adding to 102640461 its reverse (164046201), we get a palindrome (266686662).

The spelling of 102640461 in words is "one hundred two million, six hundred forty thousand, four hundred sixty-one".

Divisors: 1 3 7 11 21 33 77 231 233 699 1631 1907 2563 4893 5721 7689 13349 17941 20977 40047 53823 62931 146839 440517 444331 1332993 3110317 4887641 9330951 14662923 34213487 102640461