Search a number
-
+
1420035000 = 23354412309
BaseRepresentation
bin101010010100100…
…0000001110111000
310122222001020210220
41110221000032320
510402012110000
6352524140040
750122045506
oct12451001670
93588036726
101420035000
1166963334a
12337697620
13198274ac7
14d6849676
1584a011a0
hex54a403b8

1420035000 has 160 divisors (see below), whose sum is σ = 4546357200. Its totient is φ = 369280000.

The previous prime is 1420034999. The next prime is 1420035031. The reversal of 1420035000 is 5300241.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 613846 + ... + 616154.

Almost surely, 21420035000 is an apocalyptic number.

1420035000 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 1420035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273178600).

1420035000 is an abundant number, since it is smaller than the sum of its proper divisors (3126322200).

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

1420035000 is a wasteful number, since it uses less digits than its factorization.

1420035000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1420035000 is about 37683.3517617528. The cubic root of 1420035000 is about 1124.0000992051. Note that the first 4 decimals are identical.

Adding to 1420035000 its reverse (5300241), we get a palindrome (1425335241).

The spelling of 1420035000 in words is "one billion, four hundred twenty million, thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 625 750 820 984 1000 1025 1230 1250 1500 1640 1875 2050 2309 2460 2500 3000 3075 3750 4100 4618 4920 5000 5125 6150 6927 7500 8200 9236 10250 11545 12300 13854 15000 15375 18472 20500 23090 24600 25625 27708 30750 34635 41000 46180 51250 55416 57725 61500 69270 76875 92360 94669 102500 115450 123000 138540 153750 173175 189338 205000 230900 277080 284007 288625 307500 346350 378676 461800 473345 568014 577250 615000 692700 757352 865875 946690 1136028 1154500 1385400 1420035 1443125 1731750 1893380 2272056 2309000 2366725 2840070 2886250 3463500 3786760 4329375 4733450 5680140 5772500 6927000 7100175 8658750 9466900 11360280 11545000 11833625 14200350 17317500 18933800 23667250 28400700 34635000 35500875 47334500 56801400 59168125 71001750 94669000 118336250 142003500 177504375 236672500 284007000 355008750 473345000 710017500 1420035000