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2038140 = 2232513267
BaseRepresentation
bin111110001100101111100
310211112210200
413301211330
51010210030
6111403500
723216046
oct7614574
93745720
102038140
111172315
12823590
13564900
143b0a96
152a3d60
hex1f197c

2038140 has 108 divisors (see below), whose sum is σ = 6794424. Its totient is φ = 494208.

The previous prime is 2038139. The next prime is 2038159. The reversal of 2038140 is 418302.

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 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 35 ways as a sum of consecutive naturals, for example, 30387 + ... + 30453.

22038140 is an apocalyptic number.

2038140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397212).

2038140 is an abundant number, since it is smaller than the sum of its proper divisors (4756284).

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

2038140 is a wasteful number, since it uses less digits than its factorization.

2038140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

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

The square root of 2038140 is about 1427.6344069824. The cubic root of 2038140 is about 126.7879570739.

The spelling of 2038140 in words is "two million, thirty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 67 78 90 117 130 134 156 169 180 195 201 234 260 268 335 338 390 402 468 507 585 603 670 676 780 804 845 871 1005 1014 1170 1206 1340 1521 1690 1742 2010 2028 2340 2412 2535 2613 3015 3042 3380 3484 4020 4355 5070 5226 6030 6084 7605 7839 8710 10140 10452 11323 12060 13065 15210 15678 17420 22646 26130 30420 31356 33969 39195 45292 52260 56615 67938 78390 101907 113230 135876 156780 169845 203814 226460 339690 407628 509535 679380 1019070 2038140