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1040230400 = 21152111847
BaseRepresentation
bin111110000000001…
…010100000000000
32200111101011211212
4332000022200000
54112244333100
6251115425252
734530545456
oct7600124000
92614334755
101040230400
11494201550
12250455228
13137684861
149c2209d6
15614cb635
hex3e00a800

1040230400 has 144 divisors (see below), whose sum is σ = 2815132320. Its totient is φ = 378060800.

The previous prime is 1040230381. The next prime is 1040230481. The reversal of 1040230400 is 40320401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562277 + ... + 564123.

It is an arithmetic number, because the mean of its divisors is an integer number (19549530).

Almost surely, 21040230400 is an apocalyptic number.

1040230400 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 1040230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407566160).

1040230400 is an abundant number, since it is smaller than the sum of its proper divisors (1774901920).

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

1040230400 is a wasteful number, since it uses less digits than its factorization.

1040230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1040230400 is about 32252.6029957273. The cubic root of 1040230400 is about 1013.2342162210.

Adding to 1040230400 its reverse (40320401), we get a palindrome (1080550801).

Subtracting from 1040230400 its reverse (40320401), we obtain a palindrome (999909999).

The spelling of 1040230400 in words is "one billion, forty million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 512 550 640 704 800 880 1024 1100 1280 1408 1600 1760 1847 2048 2200 2560 2816 3200 3520 3694 4400 5120 5632 6400 7040 7388 8800 9235 10240 11264 12800 14080 14776 17600 18470 20317 22528 25600 28160 29552 35200 36940 40634 46175 51200 56320 59104 70400 73880 81268 92350 101585 112640 118208 140800 147760 162536 184700 203170 236416 281600 295520 325072 369400 406340 472832 507925 563200 591040 650144 738800 812680 945664 1015850 1182080 1300288 1477600 1625360 1891328 2031700 2364160 2600576 2955200 3250720 3782656 4063400 4728320 5201152 5910400 6501440 8126800 9456640 10402304 11820800 13002880 16253600 18913280 20804608 23641600 26005760 32507200 41609216 47283200 52011520 65014400 94566400 104023040 130028800 208046080 260057600 520115200 1040230400