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102542440 = 235711132197
BaseRepresentation
bin1100001110010…
…10110001101000
321010221200210011
412013022301220
5202222324230
614101501304
72353411360
oct607126150
9233850704
10102542440
1152978720
122a411834
1318323b00
14d8939a0
159007e2a
hex61cac68

102542440 has 192 divisors, whose sum is σ = 313061760. Its totient is φ = 29352960.

The previous prime is 102542423. The next prime is 102542471. The reversal of 102542440 is 44245201.

102542440 = 852 + 862 + ... + 6752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520422 + ... + 520618.

It is an arithmetic number, because the mean of its divisors is an integer number (1630530).

Almost surely, 2102542440 is an apocalyptic number.

102542440 is a gapful number since it is divisible by the number (10) 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 102542440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156530880).

102542440 is an abundant number, since it is smaller than the sum of its proper divisors (210519320).

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

102542440 is a wasteful number, since it uses less digits than its factorization.

102542440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 102542440 is about 10126.3241109496. The cubic root of 102542440 is about 468.0596631754.

Adding to 102542440 its reverse (44245201), we get a palindrome (146787641).

The spelling of 102542440 in words is "one hundred two million, five hundred forty-two thousand, four hundred forty".