Search a number
-
+
1420671120 = 2435111094937
BaseRepresentation
bin101010010101101…
…1011100010010000
310200000020120101220
41110223123202100
510402142433440
6352545525040
750130335211
oct12453334220
93600216356
101420671120
11669a28270
12337943780
131984384cb
14d6973408
1584ac98d0
hex54adb890

1420671120 has 160 divisors (see below), whose sum is σ = 4849511040. Its totient is φ = 341176320.

The previous prime is 1420671103. The next prime is 1420671127. The reversal of 1420671120 is 211760241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1420671127) 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, 285292 + ... + 290228.

It is an arithmetic number, because the mean of its divisors is an integer number (30309444).

Almost surely, 21420671120 is an apocalyptic number.

1420671120 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 1420671120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424755520).

1420671120 is an abundant number, since it is smaller than the sum of its proper divisors (3428839920).

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

1420671120 is a wasteful number, since it uses less digits than its factorization.

1420671120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1420671120 is about 37691.7911487369. The cubic root of 1420671120 is about 1124.1679101407.

The spelling of 1420671120 in words is "one billion, four hundred twenty million, six hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 109 110 120 132 165 176 218 220 240 264 327 330 436 440 528 545 654 660 872 880 1090 1199 1308 1320 1635 1744 2180 2398 2616 2640 3270 3597 4360 4796 4937 5232 5995 6540 7194 8720 9592 9874 11990 13080 14388 14811 17985 19184 19748 23980 24685 26160 28776 29622 35970 39496 47960 49370 54307 57552 59244 71940 74055 78992 95920 98740 108614 118488 143880 148110 162921 197480 217228 236976 271535 287760 296220 325842 394960 434456 538133 543070 592440 651684 814605 868912 1076266 1086140 1184880 1303368 1614399 1629210 2152532 2172280 2606736 2690665 3228798 3258420 4305064 4344560 5381330 5919463 6457596 6516840 8071995 8610128 10762660 11838926 12915192 13033680 16143990 17758389 21525320 23677852 25830384 29597315 32287980 35516778 43050640 47355704 59194630 64575960 71033556 88791945 94711408 118389260 129151920 142067112 177583890 236778520 284134224 355167780 473557040 710335560 1420671120