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102690918 = 232113131657
BaseRepresentation
bin1100001111011…
…11000001100110
321011020020110100
412013233001212
5202242102133
614105004530
72354600301
oct607570146
9234206410
10102690918
1152a6a230
122a483746
1318376575
14d8d1b38
159036e13
hex61ef066

102690918 has 48 divisors (see below), whose sum is σ = 243646416. Its totient is φ = 31000320.

The previous prime is 102690899. The next prime is 102690919. The reversal of 102690918 is 819096201.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102690919) 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, 61146 + ... + 62802.

It is an arithmetic number, because the mean of its divisors is an integer number (5075967).

Almost surely, 2102690918 is an apocalyptic number.

102690918 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 102690918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121823208).

102690918 is an abundant number, since it is smaller than the sum of its proper divisors (140955498).

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

102690918 is a wasteful number, since it uses less digits than its factorization.

102690918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 102690918 is about 10133.6527471588. The cubic root of 102690918 is about 468.2854657690.

The spelling of 102690918 in words is "one hundred two million, six hundred ninety thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 313 626 939 1657 1878 2817 3314 3443 4971 5634 6886 9942 10329 14913 18227 20658 29826 30987 36454 54681 61974 109362 164043 328086 518641 1037282 1555923 3111846 4667769 5705051 9335538 11410102 17115153 34230306 51345459 102690918