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1050001400 = 235272307349
BaseRepresentation
bin111110100101011…
…011111111111000
32201011202121010202
4332211123333320
54122300021100
6252105101332
735006602400
oct7645337770
92634677122
101050001400
11499775658
12253787848
131396c6106
149d645800
15622ab7d5
hex3e95bff8

1050001400 has 144 divisors (see below), whose sum is σ = 2857239000. Its totient is φ = 357799680.

The previous prime is 1050001397. The next prime is 1050001417. The reversal of 1050001400 is 41000501.

It is a super-2 number, since 2×10500014002 = 2205005880003920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3008426 + ... + 3008774.

Almost surely, 21050001400 is an apocalyptic number.

1050001400 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 1050001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428619500).

1050001400 is an abundant number, since it is smaller than the sum of its proper divisors (1807237600).

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

1050001400 is a wasteful number, since it uses less digits than its factorization.

1050001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1050001400 is about 32403.7250945011. The cubic root of 1050001400 is about 1016.3968085464.

Adding to 1050001400 its reverse (41000501), we get a palindrome (1091001901).

The spelling of 1050001400 in words is "one billion, fifty million, one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 307 349 350 392 490 614 698 700 980 1225 1228 1396 1400 1535 1745 1960 2149 2443 2450 2456 2792 3070 3490 4298 4886 4900 6140 6980 7675 8596 8725 9772 9800 10745 12215 12280 13960 15043 15350 17101 17192 17450 19544 21490 24430 30086 30700 34202 34900 42980 48860 53725 60172 61075 61400 68404 69800 75215 85505 85960 97720 107143 107450 120344 122150 136808 150430 171010 214286 214900 244300 300860 342020 376075 427525 428572 429800 488600 535715 601720 684040 750001 752150 855050 857144 1071430 1500002 1504300 1710100 2142860 2678575 3000004 3008600 3420200 3750005 4285720 5250007 5357150 6000008 7500010 10500014 10714300 15000020 18750025 21000028 21428600 26250035 30000040 37500050 42000056 52500070 75000100 105000140 131250175 150000200 210000280 262500350 525000700 1050001400