Search a number
-
+
1121014400 = 27521131847
BaseRepresentation
bin100001011010001…
…0101001010000000
32220010101102122212
41002310111022000
54243434430100
6303123121252
736531315362
oct10264251200
92803342585
101121014400
11525868790
12273513228
1314b32aa3c
14a8c4cd32
1568637635
hex42d15280

1121014400 has 96 divisors (see below), whose sum is σ = 3021101280. Its totient is φ = 407628800.

The previous prime is 1121014399. The next prime is 1121014409. The reversal of 1121014400 is 44101211.

It is not an unprimeable number, because it can be changed into a prime (1121014409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19277 + ... + 51123.

It is an arithmetic number, because the mean of its divisors is an integer number (31469805).

Almost surely, 21121014400 is an apocalyptic number.

1121014400 is a gapful number since it is divisible by the number (10) 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 1121014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510550640).

1121014400 is an abundant number, since it is smaller than the sum of its proper divisors (1900086880).

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

1121014400 is a wasteful number, since it uses less digits than its factorization.

1121014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31882 (or 31865 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1121014400 is about 33481.5531300446. The cubic root of 1121014400 is about 1038.8122535014.

Adding to 1121014400 its reverse (44101211), we get a palindrome (1165115611).

The spelling of 1121014400 in words is "one billion, one hundred twenty-one million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1600 1760 2200 3200 3520 4400 7040 8800 17600 31847 35200 63694 127388 159235 254776 318470 350317 509552 636940 700634 796175 1019104 1273880 1401268 1592350 1751585 2038208 2547760 2802536 3184700 3503170 4076416 5095520 5605072 6369400 7006340 8757925 10191040 11210144 12738800 14012680 17515850 20382080 22420288 25477600 28025360 35031700 44840576 50955200 56050720 70063400 101910400 112101440 140126800 224202880 280253600 560507200 1121014400