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102142352 = 24133111579
BaseRepresentation
bin1100001011010…
…01000110010000
321010012100222002
412011221012100
5202122023402
614045133132
72350124054
oct605510620
9233170862
10102142352
1152725074
122a25a1a8
1318213980
14d7cbc64
158e79602
hex6169190

102142352 has 40 divisors (see below), whose sum is σ = 213944640. Its totient is φ = 46961280.

The previous prime is 102142349. The next prime is 102142361. The reversal of 102142352 is 253241201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63899 + ... + 65477.

It is an arithmetic number, because the mean of its divisors is an integer number (5348616).

Almost surely, 2102142352 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 102142352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106972320).

102142352 is an abundant number, since it is smaller than the sum of its proper divisors (111802288).

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

102142352 is a wasteful number, since it uses less digits than its factorization.

102142352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 102142352 is about 10106.5499553507. The cubic root of 102142352 is about 467.4501297523.

Adding to 102142352 its reverse (253241201), we get a palindrome (355383553).

The spelling of 102142352 in words is "one hundred two million, one hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 311 622 1244 1579 2488 3158 4043 4976 6316 8086 12632 16172 20527 25264 32344 41054 64688 82108 164216 328432 491069 982138 1964276 3928552 6383897 7857104 12767794 25535588 51071176 102142352