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1121411984 = 247113773337
BaseRepresentation
bin100001011010111…
…0110001110010000
32220011010122001012
41002311312032100
54244040140414
6303135430052
736534562460
oct10265661620
92804118035
101121411984
1152600a470
12273685328
1314b4399b4
14a8d13ba0
15686b533e
hex42d76390

1121411984 has 160 divisors (see below), whose sum is σ = 2828557056. Its totient is φ = 418037760.

The previous prime is 1121411981. The next prime is 1121412023. The reversal of 1121411984 is 4891141211.

It is a self number, because there is not a number n which added to its sum of digits gives 1121411984.

It is not an unprimeable number, because it can be changed into a prime (1121411981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3327464 + ... + 3327800.

Almost surely, 21121411984 is an apocalyptic number.

1121411984 is a gapful number since it is divisible by the number (14) 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 1121411984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414278528).

1121411984 is an abundant number, since it is smaller than the sum of its proper divisors (1707145072).

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

1121411984 is a wasteful number, since it uses less digits than its factorization.

1121411984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its digits is 2304, while the sum is 32.

The square root of 1121411984 is about 33487.4899626711. The cubic root of 1121411984 is about 1038.9350489247.

The spelling of 1121411984 in words is "one billion, one hundred twenty-one million, four hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 73 74 77 88 112 146 148 154 176 259 292 296 308 337 407 511 518 584 592 616 674 803 814 1022 1036 1168 1232 1348 1606 1628 2044 2072 2359 2696 2701 2849 3212 3256 3707 4088 4144 4718 5392 5402 5621 5698 6424 6512 7414 8176 9436 10804 11242 11396 12469 12848 14828 18872 18907 21608 22484 22792 24601 24938 25949 29656 29711 37744 37814 43216 44968 45584 49202 49876 51898 59312 59422 75628 87283 89936 98404 99752 103796 118844 137159 151256 172207 174566 196808 199504 207592 207977 237688 270611 274318 302512 344414 349132 393616 415184 415954 475376 541222 548636 688828 698264 831908 910237 960113 1082444 1097272 1377656 1396528 1663816 1820474 1894277 1920226 2164888 2194544 2755312 3327632 3640948 3788554 3840452 4329776 6371659 7281896 7577108 7680904 10012607 12743318 14563792 15154216 15361808 20025214 25486636 30308432 40050428 50973272 70088249 80100856 101946544 140176498 160201712 280352996 560705992 1121411984