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402020000 = 255420101
BaseRepresentation
bin10111111101100…
…101011010100000
31001000110201202122
4113331211122200
51310404120000
6103520403412
712651053654
oct2775453240
91030421678
10402020000
11196a25638
12b2776568
136539ab75
143b56ca64
1525462085
hex17f656a0

402020000 has 60 divisors (see below), whose sum is σ = 989078706. Its totient is φ = 160800000.

The previous prime is 402019949. The next prime is 402020023. The reversal of 402020000 is 20204.

It can be written as a sum of positive squares in 5 ways, for example, as 258064 + 401761936 = 508^2 + 20044^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 402020000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9950 + ... + 30050.

Almost surely, 2402020000 is an apocalyptic number.

402020000 is a gapful number since it is divisible by the number (40) 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 402020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494539353).

402020000 is an abundant number, since it is smaller than the sum of its proper divisors (587058706).

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

402020000 is an equidigital number, since it uses as much as digits as its factorization.

402020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20131 (or 20108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 402020000 is about 20050.4364042282. The cubic root of 402020000 is about 738.0445083480.

Adding to 402020000 its reverse (20204), we get a palindrome (402040204).

The spelling of 402020000 in words is "four hundred two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 20101 40202 80404 100505 160808 201010 321616 402020 502525 643232 804040 1005050 1608080 2010100 2512625 3216160 4020200 5025250 8040400 10050500 12563125 16080800 20101000 25126250 40202000 50252500 80404000 100505000 201010000 402020000