Search a number
-
+
10830078 = 233724093
BaseRepresentation
bin101001010100…
…000011111110
3202101020002000
4221110003332
510233030303
61024043130
7161024400
oct51240376
922336060
1010830078
116127886
1237634a6
13232263c
14161cb70
15e3dda3
hexa540fe

10830078 has 48 divisors (see below), whose sum is σ = 28002960. Its totient is φ = 3093552.

The previous prime is 10830059. The next prime is 10830101. The reversal of 10830078 is 87003801.

10830078 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

10830078 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600 + ... + 4692.

It is an arithmetic number, because the mean of its divisors is an integer number (583395).

Almost surely, 210830078 is an apocalyptic number.

10830078 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 10830078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14001480).

10830078 is an abundant number, since it is smaller than the sum of its proper divisors (17172882).

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

10830078 is a wasteful number, since it uses less digits than its factorization.

10830078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10830078 is about 3290.9083852335. The cubic root of 10830078 is about 221.2469002726.

Adding to 10830078 its reverse (87003801), we get a palindrome (97833879).

The spelling of 10830078 in words is "ten million, eight hundred thirty thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 4093 8186 12279 24558 28651 36837 57302 73674 85953 110511 171906 200557 221022 257859 401114 515718 601671 773577 1203342 1547154 1805013 3610026 5415039 10830078