Search a number
-
+
1420755400 = 235219596337
BaseRepresentation
bin101010010101111…
…0000000111001000
310200000101212000101
41110223300013020
510402203133100
6352551415144
750131136011
oct12453600710
93600355011
101420755400
11669a85619
123379844b4
1319846798c
14d6996008
1584ae486a
hex54af01c8

1420755400 has 96 divisors (see below), whose sum is σ = 3536604000. Its totient is φ = 529182720.

The previous prime is 1420755397. The next prime is 1420755409. The reversal of 1420755400 is 45570241.

It is not an unprimeable number, because it can be changed into a prime (1420755409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221032 + ... + 227368.

It is an arithmetic number, because the mean of its divisors is an integer number (36839625).

Almost surely, 21420755400 is an apocalyptic number.

1420755400 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 1420755400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768302000).

1420755400 is an abundant number, since it is smaller than the sum of its proper divisors (2115848600).

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

1420755400 is a wasteful number, since it uses less digits than its factorization.

1420755400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6422 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 1420755400 is about 37692.9091474776. The cubic root of 1420755400 is about 1124.1901397749.

The spelling of 1420755400 in words is "one billion, four hundred twenty million, seven hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 59 76 95 100 118 152 190 200 236 295 380 472 475 590 760 950 1121 1180 1475 1900 2242 2360 2950 3800 4484 5605 5900 6337 8968 11210 11800 12674 22420 25348 28025 31685 44840 50696 56050 63370 112100 120403 126740 158425 224200 240806 253480 316850 373883 481612 602015 633700 747766 963224 1204030 1267400 1495532 1869415 2408060 2991064 3010075 3738830 4816120 6020150 7103777 7477660 9347075 12040300 14207554 14955320 18694150 24080600 28415108 35518885 37388300 56830216 71037770 74776600 142075540 177594425 284151080 355188850 710377700 1420755400