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2020004400 = 243524141057
BaseRepresentation
bin111100001100110…
…1101001000110000
312012202222212002210
41320121231020300
513114110120100
6532235412120
7101025516441
oct17031551060
95182885083
102020004400
11947270227
124845b4040
1326265c79b
141523c52c8
15bc514c50
hex7866d230

2020004400 has 120 divisors (see below), whose sum is σ = 6628731984. Its totient is φ = 525516800.

The previous prime is 2020004377. The next prime is 2020004477. The reversal of 2020004400 is 44000202.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28672 + ... + 69728.

Almost surely, 22020004400 is an apocalyptic number.

2020004400 is a gapful number since it is divisible by the number (20) 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 2020004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314365992).

2020004400 is an abundant number, since it is smaller than the sum of its proper divisors (4608727584).

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

2020004400 is a wasteful number, since it uses less digits than its factorization.

2020004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41119 (or 41108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2020004400 is about 44944.4590578194. The cubic root of 2020004400 is about 1264.1077826960.

Adding to 2020004400 its reverse (44000202), we get a palindrome (2064004602).

The spelling of 2020004400 in words is "two billion, twenty million, four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 328 400 410 492 600 615 656 820 984 1025 1200 1230 1640 1968 2050 2460 3075 3280 4100 4920 6150 8200 9840 12300 16400 24600 41057 49200 82114 123171 164228 205285 246342 328456 410570 492684 615855 656912 821140 985368 1026425 1231710 1642280 1683337 1970736 2052850 2463420 3079275 3284560 3366674 4105700 4926840 5050011 6158550 6733348 8211400 8416685 9853680 10100022 12317100 13466696 16422800 16833370 20200044 24634200 25250055 26933392 33666740 40400088 42083425 49268400 50500110 67333480 80800176 84166850 101000220 126250275 134666960 168333700 202000440 252500550 336667400 404000880 505001100 673334800 1010002200 2020004400