Search a number
-
+
1370222640 = 243258921383
BaseRepresentation
bin101000110101011…
…1111000000110000
310112111022112002200
41101222333000300
510301234111030
6343544343200
745645462123
oct12152770060
93474275080
101370222640
11643500606
12322a74b00
1318ab53c37
14cdda03ba
1580461d60
hex51abf030

1370222640 has 120 divisors (see below), whose sum is σ = 4653586080. Its totient is φ = 361270272.

The previous prime is 1370222603. The next prime is 1370222641. The reversal of 1370222640 is 462220731.

1370222640 is a `hidden beast` number, since 13 + 7 + 0 + 2 + 2 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1370222641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53389 + ... + 74771.

It is an arithmetic number, because the mean of its divisors is an integer number (38779884).

Almost surely, 21370222640 is an apocalyptic number.

1370222640 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 1370222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326793040).

1370222640 is an abundant number, since it is smaller than the sum of its proper divisors (3283363440).

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

1370222640 is a wasteful number, since it uses less digits than its factorization.

1370222640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21491 (or 21482 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1370222640 is about 37016.5184748647. The cubic root of 1370222640 is about 1110.7007019673.

The spelling of 1370222640 in words is "one billion, three hundred seventy million, two hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 445 534 712 720 801 890 1068 1335 1424 1602 1780 2136 2670 3204 3560 4005 4272 5340 6408 7120 8010 10680 12816 16020 21360 21383 32040 42766 64080 64149 85532 106915 128298 171064 192447 213830 256596 320745 342128 384894 427660 513192 641490 769788 855320 962235 1026384 1282980 1539576 1710640 1903087 1924470 2565960 3079152 3806174 3848940 5131920 5709261 7612348 7697880 9515435 11418522 15224696 15395760 17127783 19030870 22837044 28546305 30449392 34255566 38061740 45674088 57092610 68511132 76123480 85638915 91348176 114185220 137022264 152246960 171277830 228370440 274044528 342555660 456740880 685111320 1370222640