Search a number
-
+
1220960448 = 263210919447
BaseRepresentation
bin100100011000110…
…0110000011000000
310011002110012212100
41020301212003000
510000031213243
6321053230400
742153664311
oct11061460300
93132405770
101220960448
11577222724
122a0a92400
13165c52b06
14b8228608
15722cb0d3
hex48c660c0

1220960448 has 84 divisors (see below), whose sum is σ = 3531951280. Its totient is φ = 403232256.

The previous prime is 1220960393. The next prime is 1220960453. The reversal of 1220960448 is 8440690221.

1220960448 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 9 + 604 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53061 + ... + 72507.

Almost surely, 21220960448 is an apocalyptic number.

1220960448 is a gapful number since it is divisible by the number (18) 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 1220960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765975640).

1220960448 is an abundant number, since it is smaller than the sum of its proper divisors (2310990832).

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

1220960448 is a wasteful number, since it uses less digits than its factorization.

1220960448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19574 (or 19561 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1220960448 is about 34942.2444613966. The cubic root of 1220960448 is about 1068.8100574848.

The spelling of 1220960448 in words is "one billion, two hundred twenty million, nine hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 144 192 218 288 327 436 576 654 872 981 1308 1744 1962 2616 3488 3924 5232 6976 7848 10464 15696 19447 20928 31392 38894 58341 62784 77788 116682 155576 175023 233364 311152 350046 466728 622304 700092 933456 1244608 1400184 1866912 2119723 2800368 3733824 4239446 5600736 6359169 8478892 11201472 12718338 16957784 19077507 25436676 33915568 38155014 50873352 67831136 76310028 101746704 135662272 152620056 203493408 305240112 406986816 610480224 1220960448