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102492324 = 22331132331
BaseRepresentation
bin1100001101111…
…10100010100100
321010212011001000
412012332202210
5202214223244
614100433300
72353112304
oct606764244
9233764030
10102492324
1152944000
122a3a8830
131830705c
14d87d604
158ee8169
hex61be8a4

102492324 has 192 divisors, whose sum is σ = 314818560. Its totient is φ = 28749600.

The previous prime is 102492323. The next prime is 102492329. The reversal of 102492324 is 423294201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102492323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3306189 + ... + 3306219.

It is an arithmetic number, because the mean of its divisors is an integer number (1639680).

Almost surely, 2102492324 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 102492324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157409280).

102492324 is an abundant number, since it is smaller than the sum of its proper divisors (212326236).

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

102492324 is a wasteful number, since it uses less digits than its factorization.

102492324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 102492324 is about 10123.8492679415. The cubic root of 102492324 is about 467.9833984906.

The spelling of 102492324 in words is "one hundred two million, four hundred ninety-two thousand, three hundred twenty-four".