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10078398 = 2331119247
BaseRepresentation
bin100110011100…
…100010111110
3200222000222000
4212130202332
510040002043
61000003130
7151444041
oct46344276
920860860
1010078398
115764060
1234604a6
13211b465
1414a4c58
15d412d3
hex99c8be

10078398 has 96 divisors (see below), whose sum is σ = 26334720. Its totient is φ = 2831760.

The previous prime is 10078363. The next prime is 10078421. The reversal of 10078398 is 89387001.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214411 + ... + 214457.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 210078398 is an apocalyptic number.

10078398 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 10078398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

10078398 is an abundant number, since it is smaller than the sum of its proper divisors (16256322).

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

10078398 is a wasteful number, since it uses less digits than its factorization.

10078398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10078398 is about 3174.6492719669. The cubic root of 10078398 is about 216.0050153156.

The spelling of 10078398 in words is "ten million, seventy-eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 47 54 57 66 94 99 114 141 171 198 209 282 297 342 361 418 423 513 517 594 627 722 846 893 1026 1034 1083 1254 1269 1551 1786 1881 2166 2538 2679 3102 3249 3762 3971 4653 5358 5643 6498 7942 8037 9306 9747 9823 11286 11913 13959 16074 16967 19494 19646 23826 24111 27918 29469 33934 35739 48222 50901 58938 71478 88407 101802 107217 152703 176814 186637 214434 265221 305406 373274 458109 530442 559911 916218 1119822 1679733 3359466 5039199 10078398