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102895380 = 223357163167
BaseRepresentation
bin1100010001000…
…00111100010100
321011121121221000
412020200330110
5202320123010
614113223300
72356411350
oct610407424
9234547830
10102895380
1153099905
122a561b30
1318418653
14d946460
1590777c0
hex6220f14

102895380 has 192 divisors, whose sum is σ = 370298880. Its totient is φ = 23234688.

The previous prime is 102895379. The next prime is 102895381. The reversal of 102895380 is 83598201.

It is an interprime number because it is at equal distance from previous prime (102895379) and next prime (102895381).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102895381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616057 + ... + 616223.

It is an arithmetic number, because the mean of its divisors is an integer number (1928640).

Almost surely, 2102895380 is an apocalyptic number.

102895380 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 102895380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185149440).

102895380 is an abundant number, since it is smaller than the sum of its proper divisors (267403500).

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

102895380 is a wasteful number, since it uses less digits than its factorization.

102895380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 102895380 is about 10143.7359981419. The cubic root of 102895380 is about 468.5960518455.

The spelling of 102895380 in words is "one hundred two million, eight hundred ninety-five thousand, three hundred eighty".