Search a number
-
+
2030474400 = 253521137487
BaseRepresentation
bin111100100000110…
…1001010010100000
312020111200210020120
41321001221102200
513124300140100
6533252040240
7101213514303
oct17101512240
95214623216
102030474400
11952171519
12488003080
13264887256
1415394cb3a
15bd3d20a0
hex790694a0

2030474400 has 144 divisors (see below), whose sum is σ = 6668573184. Its totient is φ = 536596480.

The previous prime is 2030474399. The next prime is 2030474429. The reversal of 2030474400 is 44740302.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 267457 + ... + 274943.

It is an arithmetic number, because the mean of its divisors is an integer number (46309536).

Almost surely, 22030474400 is an apocalyptic number.

2030474400 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 2030474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334286592).

2030474400 is an abundant number, since it is smaller than the sum of its proper divisors (4638098784).

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

2030474400 is a wasteful number, since it uses less digits than its factorization.

2030474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 2030474400 is about 45060.7856123259. The cubic root of 2030474400 is about 1266.2880431915.

The spelling of 2030474400 in words is "two billion, thirty million, four hundred seventy-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 113 120 150 160 200 226 240 300 339 400 452 480 565 600 678 800 904 1130 1200 1356 1695 1808 2260 2400 2712 2825 3390 3616 4520 5424 5650 6780 7487 8475 9040 10848 11300 13560 14974 16950 18080 22461 22600 27120 29948 33900 37435 44922 45200 54240 59896 67800 74870 89844 90400 112305 119792 135600 149740 179688 187175 224610 239584 271200 299480 359376 374350 449220 561525 598960 718752 748700 846031 898440 1123050 1197920 1497400 1692062 1796880 2246100 2538093 2994800 3384124 3593760 4230155 4492200 5076186 5989600 6768248 8460310 8984400 10152372 12690465 13536496 16920620 17968800 20304744 21150775 25380930 27072992 33841240 40609488 42301550 50761860 63452325 67682480 81218976 84603100 101523720 126904650 135364960 169206200 203047440 253809300 338412400 406094880 507618600 676824800 1015237200 2030474400