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1121546440 = 2357171912401
BaseRepresentation
bin100001011011001…
…0111000011001000
32220011101110111001
41002312113003020
54244103441230
6303142344344
736535662460
oct10266270310
92804343431
101121546440
115260a1493
1227372b0b4
1314b485c61
14a8d4aba0
15686e00ca
hex42d970c8

1121546440 has 128 divisors (see below), whose sum is σ = 3214598400. Its totient is φ = 342835200.

The previous prime is 1121546429. The next prime is 1121546467. The reversal of 1121546440 is 446451211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1121546399 and 1121546408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84240 + ... + 96640.

It is an arithmetic number, because the mean of its divisors is an integer number (25114050).

Almost surely, 21121546440 is an apocalyptic number.

1121546440 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 1121546440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607299200).

1121546440 is an abundant number, since it is smaller than the sum of its proper divisors (2093051960).

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

1121546440 is a wasteful number, since it uses less digits than its factorization.

1121546440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12455 (or 12451 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 1121546440 is about 33489.4974581584. The cubic root of 1121546440 is about 1038.9765696356.

Adding to 1121546440 its reverse (446451211), we get a palindrome (1567997651).

The spelling of 1121546440 in words is "one billion, one hundred twenty-one million, five hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 19 20 28 34 35 38 40 56 68 70 76 85 95 119 133 136 140 152 170 190 238 266 280 323 340 380 476 532 595 646 665 680 760 952 1064 1190 1292 1330 1615 2261 2380 2584 2660 3230 4522 4760 5320 6460 9044 11305 12401 12920 18088 22610 24802 45220 49604 62005 86807 90440 99208 124010 173614 210817 235619 248020 347228 421634 434035 471238 496040 694456 843268 868070 942476 1054085 1178095 1475719 1649333 1686536 1736140 1884952 2108170 2356190 2951438 3298666 3472280 4005523 4216340 4712380 5902876 6597332 7378595 8011046 8246665 8432680 9424760 11805752 13194664 14757190 16022092 16493330 20027615 28038661 29514380 32044184 32986660 40055230 56077322 59028760 65973320 80110460 112154644 140193305 160220920 224309288 280386610 560773220 1121546440