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1121285376 = 2833315233
BaseRepresentation
bin100001011010101…
…0111010100000000
32220010220012101000
41002311113110000
54244022113001
6303133012000
736533524401
oct10265272400
92803805330
101121285376
11525a33332
12273624000
1314b3c4193
14a8cbd9a8
156868ca86
hex42d57500

1121285376 has 144 divisors (see below), whose sum is σ = 3423454720. Its totient is φ = 361635840.

The previous prime is 1121285369. The next prime is 1121285387. The reversal of 1121285376 is 6735821211.

1121285376 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 285 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11212853762 = 2514561788862922752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1121285376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211656 + ... + 216888.

Almost surely, 21121285376 is an apocalyptic number.

1121285376 is a gapful number since it is divisible by the number (16) 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 1121285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711727360).

1121285376 is an abundant number, since it is smaller than the sum of its proper divisors (2302169344).

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

1121285376 is an equidigital number, since it uses as much as digits as its factorization.

1121285376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5269 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1121285376 is about 33485.5995317390. The cubic root of 1121285376 is about 1038.8959486829.

The spelling of 1121285376 in words is "one billion, one hundred twenty-one million, two hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 5233 5952 6696 6912 7936 8928 10466 11904 13392 15699 17856 20932 23808 26784 31398 35712 41864 47097 53568 62796 71424 83728 94194 107136 125592 141291 162223 167456 188388 214272 251184 282582 324446 334912 376776 486669 502368 565164 648892 669824 753552 973338 1004736 1130328 1297784 1339648 1460007 1507104 1946676 2009472 2260656 2595568 2920014 3014208 3893352 4018944 4380021 4521312 5191136 5840028 6028416 7786704 8760042 9042624 10382272 11680056 12056832 15573408 17520084 18085248 20764544 23360112 31146816 35040168 36170496 41529088 46720224 62293632 70080336 93440448 124587264 140160672 186880896 280321344 373761792 560642688 1121285376