[go: up one dir, main page]

Search a number
-
+
103614030 = 232513195979
BaseRepresentation
bin1100010110100…
…00011001001110
321012222010201200
412023100121032
5203011122110
614140450330
72365463502
oct613203116
9235863650
10103614030
115353a833
122a8499a6
131860a7a0
14da92302
15916a6c0
hex62d064e

103614030 has 192 divisors, whose sum is σ = 314496000. Its totient is φ = 23452416.

The previous prime is 103614019. The next prime is 103614041. The reversal of 103614030 is 30416301.

It is an interprime number because it is at equal distance from previous prime (103614019) and next prime (103614041).

It is a super-3 number, since 3×1036140303 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103613994 and 103614012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1311531 + ... + 1311609.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2103614030 is an apocalyptic number.

103614030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103614030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

103614030 is an abundant number, since it is smaller than the sum of its proper divisors (210881970).

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

103614030 is a wasteful number, since it uses less digits than its factorization.

103614030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103614030 is about 10179.0977006805. The cubic root of 103614030 is about 469.6844569811.

The spelling of 103614030 in words is "one hundred three million, six hundred fourteen thousand, thirty".