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801402000 = 24353719081
BaseRepresentation
bin101111110001000…
…110110010010000
32001211222102212120
4233301012302100
53120124331000
6211304454240
725600542660
oct5761066220
92054872776
10801402000
11381409203
121a447a380
13ca054089
14786121a0
154a5526a0
hex2fc46c90

801402000 has 160 divisors (see below), whose sum is σ = 2952977664. Its totient is φ = 183168000.

The previous prime is 801401999. The next prime is 801402001. The reversal of 801402000 is 204108.

It is an interprime number because it is at equal distance from previous prime (801401999) and next prime (801402001).

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

It is not an unprimeable number, because it can be changed into a prime (801402001) 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, 32460 + ... + 51540.

Almost surely, 2801402000 is an apocalyptic number.

801402000 is a gapful number since it is divisible by the number (80) 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 801402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476488832).

801402000 is an abundant number, since it is smaller than the sum of its proper divisors (2151575664).

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

801402000 is a wasteful number, since it uses less digits than its factorization.

801402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19114 (or 19098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 801402000 is about 28309.0444911163. The cubic root of 801402000 is about 928.8597425369.

Adding to 801402000 its reverse (204108), we get a palindrome (801606108).

The spelling of 801402000 in words is "eight hundred one million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 19081 21000 38162 42000 57243 76324 95405 114486 133567 152648 190810 228972 267134 286215 305296 381620 400701 457944 477025 534268 572430 667835 763240 801402 915888 954050 1068536 1144860 1335670 1431075 1526480 1602804 1908100 2003505 2137072 2289720 2385125 2671340 2862150 3205608 3339175 3816200 4007010 4579440 4770250 5342680 5724300 6411216 6678350 7155375 7632400 8014020 9540500 10017525 10685360 11448600 13356700 14310750 16028040 16695875 19081000 20035050 22897200 26713400 28621500 32056080 33391750 38162000 40070100 50087625 53426800 57243000 66783500 80140200 100175250 114486000 133567000 160280400 200350500 267134000 400701000 801402000