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20138448 = 2431143887
BaseRepresentation
bin100110011010…
…0100111010000
31101220010202110
41030310213100
520123412243
61555345320
7333113451
oct114644720
941803673
1020138448
1110405350
1268b2240
134231455
142963128
151b7be33
hex13349d0

20138448 has 80 divisors (see below), whose sum is σ = 58139136. Its totient is φ = 5953920.

The previous prime is 20138431. The next prime is 20138449. The reversal of 20138448 is 84483102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20138449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22261 + ... + 23147.

Almost surely, 220138448 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 20138448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29069568).

20138448 is an abundant number, since it is smaller than the sum of its proper divisors (38000688).

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

20138448 is a wasteful number, since it uses less digits than its factorization.

20138448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 20138448 is about 4487.5882164031. The cubic root of 20138448 is about 272.0666647439.

The spelling of 20138448 in words is "twenty million, one hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 887 946 1032 1419 1774 1892 2064 2661 2838 3548 3784 5322 5676 7096 7568 9757 10644 11352 14192 19514 21288 22704 29271 38141 39028 42576 58542 76282 78056 114423 117084 152564 156112 228846 234168 305128 419551 457692 468336 610256 839102 915384 1258653 1678204 1830768 2517306 3356408 5034612 6712816 10069224 20138448