[go: up one dir, main page]

Search a number
-
+
1370112120 = 2332513292759
BaseRepresentation
bin101000110101010…
…0100000001111000
310112111002220111100
41101222210001320
510301222041440
6343542131400
745644521656
oct12152440170
93474086440
101370112120
11643435573
12322a20b60
1318ab15840
14cdd71dd6
158043e230
hex51aa4078

1370112120 has 96 divisors (see below), whose sum is σ = 4795408800. Its totient is φ = 337257216.

The previous prime is 1370112119. The next prime is 1370112157. The reversal of 1370112120 is 212110731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1370112093 and 1370112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141700 + ... + 151059.

It is an arithmetic number, because the mean of its divisors is an integer number (49952175).

Almost surely, 21370112120 is an apocalyptic number.

1370112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1370112120 is an abundant number, since it is smaller than the sum of its proper divisors (3425296680).

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

1370112120 is a wasteful number, since it uses less digits than its factorization.

1370112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292789 (or 292782 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1370112120 is about 37015.0255977218. The cubic root of 1370112120 is about 1110.6708387080.

Adding to 1370112120 its reverse (212110731), we get a palindrome (1582222851).

The spelling of 1370112120 in words is "one billion, three hundred seventy million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 292759 585518 878277 1171036 1463795 1756554 2342072 2634831 2927590 3513108 3805867 4391385 5269662 5855180 7026216 7611734 8782770 10539324 11417601 11710360 13174155 15223468 17565540 19029335 21078648 22835202 26348310 30446936 34252803 35131080 38058670 45670404 52696620 57088005 68505606 76117340 91340808 105393240 114176010 137011212 152234680 171264015 228352020 274022424 342528030 456704040 685056060 1370112120