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20034816 = 283191373
BaseRepresentation
bin100110001101…
…1010100000000
31101200212121020
41030123110000
520112103231
61553225440
7332202354
oct114332400
941625536
1020034816
11103444aa
126862280
1341c6229
142937464
151b5b396
hex131b500

20034816 has 72 divisors (see below), whose sum is σ = 56169120. Its totient is φ = 6322176.

The previous prime is 20034811. The next prime is 20034841. The reversal of 20034816 is 61843002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20034811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13906 + ... + 15278.

Almost surely, 220034816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28084560).

20034816 is an abundant number, since it is smaller than the sum of its proper divisors (36134304).

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

20034816 is a wasteful number, since it uses less digits than its factorization.

20034816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20034816 is about 4476.0268095712. The cubic root of 20034816 is about 271.5991789570.

Multiplying 20034816 by its product of nonzero digits (1152), we get a palindrome (23080108032).

Adding to 20034816 its reverse (61843002), we get a palindrome (81877818).

The spelling of 20034816 in words is "twenty million, thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1373 1824 2432 2746 3648 4119 4864 5492 7296 8238 10984 14592 16476 21968 26087 32952 43936 52174 65904 78261 87872 104348 131808 156522 175744 208696 263616 313044 351488 417392 527232 626088 834784 1054464 1252176 1669568 2504352 3339136 5008704 6678272 10017408 20034816