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2052414 = 2327213179
BaseRepresentation
bin111110101000100111110
310212021101100
413311010332
51011134124
6111553530
723305500
oct7650476
93767340
102052414
111182011
1282b8a6
1356b260
143b5d70
152a81c9
hex1f513e

2052414 has 72 divisors (see below), whose sum is σ = 5601960. Its totient is φ = 538272.

The previous prime is 2052409. The next prime is 2052431. The reversal of 2052414 is 4142502.

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, 11377 + ... + 11555.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

22052414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800980).

2052414 is an abundant number, since it is smaller than the sum of its proper divisors (3549546).

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

2052414 is a wasteful number, since it uses less digits than its factorization.

2052414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2052414 is about 1432.6248636681. The cubic root of 2052414 is about 127.0832529128.

Adding to 2052414 its reverse (4142502), we get a palindrome (6194916).

The spelling of 2052414 in words is "two million, fifty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 179 182 234 273 294 358 441 537 546 637 819 882 1074 1253 1274 1611 1638 1911 2327 2506 3222 3759 3822 4654 5733 6981 7518 8771 11277 11466 13962 16289 17542 20943 22554 26313 32578 41886 48867 52626 78939 97734 114023 146601 157878 228046 293202 342069 684138 1026207 2052414