Search a number
-
+
1120079640 = 2335191094507
BaseRepresentation
bin100001011000011…
…0000111100011000
32220001121221102010
41002300300330120
54243220022030
6303051105520
736520343211
oct10260607430
92801557363
101120079640
1152528a459
122731422a0
1314b091424
14a8a88408
15685006b0
hex42c30f18

1120079640 has 128 divisors (see below), whose sum is σ = 3570336000. Its totient is φ = 280309248.

The previous prime is 1120079593. The next prime is 1120079647. The reversal of 1120079640 is 469700211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1120079598 and 1120079607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120079647) 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, 246267 + ... + 250773.

It is an arithmetic number, because the mean of its divisors is an integer number (27893250).

Almost surely, 21120079640 is an apocalyptic number.

1120079640 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 1120079640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785168000).

1120079640 is an abundant number, since it is smaller than the sum of its proper divisors (2450256360).

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

1120079640 is a wasteful number, since it uses less digits than its factorization.

1120079640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1120079640 is about 33467.5908902927. The cubic root of 1120079640 is about 1038.5234346815.

Adding to 1120079640 its reverse (469700211), we get a palindrome (1589779851).

The spelling of 1120079640 in words is "one billion, one hundred twenty million, seventy-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 109 114 120 152 190 218 228 285 327 380 436 456 545 570 654 760 872 1090 1140 1308 1635 2071 2180 2280 2616 3270 4142 4360 4507 6213 6540 8284 9014 10355 12426 13080 13521 16568 18028 20710 22535 24852 27042 31065 36056 41420 45070 49704 54084 62130 67605 82840 85633 90140 108168 124260 135210 171266 180280 248520 256899 270420 342532 428165 491263 513798 540840 685064 856330 982526 1027596 1284495 1473789 1712660 1965052 2055192 2456315 2568990 2947578 3425320 3930104 4912630 5137980 5895156 7368945 9333997 9825260 10275960 11790312 14737890 18667994 19650520 28001991 29475780 37335988 46669985 56003982 58951560 74671976 93339970 112007964 140009955 186679940 224015928 280019910 373359880 560039820 1120079640