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1420014000 = 24353298161
BaseRepresentation
bin101010010100011…
…1011000110110000
310122222000012000010
41110220323012300
510402010422000
6352523454520
750121630336
oct12450730660
93588005003
101420014000
11669619599
12337687440
13198268392
14d6841b56
15849e9d50
hex54a3b1b0

1420014000 has 160 divisors (see below), whose sum is σ = 4736571840. Its totient is φ = 365568000.

The previous prime is 1420013989. The next prime is 1420014007. The reversal of 1420014000 is 4100241.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1420014007) 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, 169920 + ... + 178080.

It is an arithmetic number, because the mean of its divisors is an integer number (29603574).

Almost surely, 21420014000 is an apocalyptic number.

1420014000 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 1420014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368285920).

1420014000 is an abundant number, since it is smaller than the sum of its proper divisors (3316557840).

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

1420014000 is a wasteful number, since it uses less digits than its factorization.

1420014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8216 (or 8200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1420014000 is about 37683.0731230880. The cubic root of 1420014000 is about 1123.9945584688.

Adding to 1420014000 its reverse (4100241), we get a palindrome (1424114241).

The spelling of 1420014000 in words is "one billion, four hundred twenty million, fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 125 145 150 174 200 232 240 250 290 300 348 375 400 435 464 500 580 600 696 725 750 870 1000 1160 1200 1392 1450 1500 1740 2000 2175 2320 2900 3000 3480 3625 4350 5800 6000 6960 7250 8161 8700 10875 11600 14500 16322 17400 21750 24483 29000 32644 34800 40805 43500 48966 58000 65288 81610 87000 97932 122415 130576 163220 174000 195864 204025 236669 244830 326440 391728 408050 473338 489660 612075 652880 710007 816100 946676 979320 1020125 1183345 1224150 1420014 1632200 1893352 1958640 2040250 2366690 2448300 2840028 3060375 3264400 3550035 3786704 4080500 4733380 4896600 5680056 5916725 6120750 7100070 8161000 9466760 9793200 11360112 11833450 12241500 14200140 16322000 17750175 18933520 23666900 24483000 28400280 29583625 35500350 47333800 48966000 56800560 59167250 71000700 88750875 94667600 118334500 142001400 177501750 236669000 284002800 355003500 473338000 710007000 1420014000