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2038014 = 233114773
BaseRepresentation
bin111110001100011111110
310211112122000
413301203332
51010204024
6111403130
723215506
oct7614376
93745560
102038014
111172210
128234a6
13564834
143b0a06
152a3cc9
hex1f18fe

2038014 has 64 divisors (see below), whose sum is σ = 5114880. Its totient is φ = 596160.

The previous prime is 2037979. The next prime is 2038019. The reversal of 2038014 is 4108302.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27882 + ... + 27954.

It is an arithmetic number, because the mean of its divisors is an integer number (79920).

22038014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557440).

2038014 is an abundant number, since it is smaller than the sum of its proper divisors (3076866).

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

2038014 is a wasteful number, since it uses less digits than its factorization.

2038014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2038014 is about 1427.5902773555. The cubic root of 2038014 is about 126.7853442976.

The spelling of 2038014 in words is "two million, thirty-eight thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 73 94 99 141 146 198 219 282 297 423 438 517 594 657 803 846 1034 1269 1314 1551 1606 1971 2409 2538 3102 3431 3942 4653 4818 6862 7227 9306 10293 13959 14454 20586 21681 27918 30879 37741 43362 61758 75482 92637 113223 185274 226446 339669 679338 1019007 2038014