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2938620 = 2235174367
BaseRepresentation
bin1011001101011011111100
312112022000210
423031123330
51223013440
6142552420
733656256
oct13153374
95468023
102938620
111727913
12b98710
137bb739
14566cd6
153d0a80
hex2cd6fc

2938620 has 96 divisors (see below), whose sum is σ = 9047808. Its totient is φ = 709632.

The previous prime is 2938609. The next prime is 2938627. The reversal of 2938620 is 268392.

2938620 is digitally balanced in base 5, because in such base 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 (30).

It is an Ulam number.

It is a d-powerful number, because it can be written as 217 + 96 + 311 + 83 + 64 + 221 + 0 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938627) 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, 43827 + ... + 43893.

It is an arithmetic number, because the mean of its divisors is an integer number (94248).

22938620 is an apocalyptic number.

2938620 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 2938620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523904).

2938620 is an abundant number, since it is smaller than the sum of its proper divisors (6109188).

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

2938620 is a wasteful number, since it uses less digits than its factorization.

2938620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2938620 is about 1714.2403565428. The cubic root of 2938620 is about 143.2345572686.

The spelling of 2938620 in words is "two million, nine hundred thirty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 43 51 60 67 68 85 86 102 129 134 170 172 201 204 215 255 258 268 335 340 402 430 510 516 645 670 731 804 860 1005 1020 1139 1290 1340 1462 2010 2193 2278 2580 2881 2924 3417 3655 4020 4386 4556 5695 5762 6834 7310 8643 8772 10965 11390 11524 13668 14405 14620 17085 17286 21930 22780 28810 34170 34572 43215 43860 48977 57620 68340 86430 97954 146931 172860 195908 244885 293862 489770 587724 734655 979540 1469310 2938620