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102387078 = 2351911103
BaseRepresentation
bin1100001101001…
…00110110000110
321010122210200000
412012210312012
5202202341303
614054302130
72352163413
oct606446606
9233583600
10102387078
1152881a22
122a357946
131829b191
14d85310a
158ec6da3
hex61a4d86

102387078 has 48 divisors (see below), whose sum is σ = 231469056. Its totient is φ = 33919560.

The previous prime is 102387071. The next prime is 102387083. The reversal of 102387078 is 870783201.

It is a super-2 number, since 2×1023870782 = 20966227482756168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102387071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92275 + ... + 93377.

It is an arithmetic number, because the mean of its divisors is an integer number (4822272).

Almost surely, 2102387078 is an apocalyptic number.

102387078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102387078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115734528).

102387078 is an abundant number, since it is smaller than the sum of its proper divisors (129081978).

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

102387078 is a wasteful number, since it uses less digits than its factorization.

102387078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 102387078 is about 10118.6500087709. The cubic root of 102387078 is about 467.8231580377.

The spelling of 102387078 in words is "one hundred two million, three hundred eighty-seven thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 191 243 382 486 573 1103 1146 1719 2206 3309 3438 5157 6618 9927 10314 15471 19854 29781 30942 46413 59562 89343 92826 178686 210673 268029 421346 536058 632019 1264038 1896057 3792114 5688171 11376342 17064513 34129026 51193539 102387078