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1426914000 = 24325379273
BaseRepresentation
bin101010100001100…
…1111101011010000
310200102222202000200
41111003033223100
510410242222000
6353331415200
750234366061
oct12503175320
93612882020
101426914000
11672501676
12339a54500
13199812c15
14d771a568
158540e500
hex550cfad0

1426914000 has 120 divisors (see below), whose sum is σ = 4983797832. Its totient is φ = 380505600.

The previous prime is 1426913993. The next prime is 1426914001. The reversal of 1426914000 is 4196241.

It can be written as a sum of positive squares in 4 ways, for example, as 206669376 + 1220244624 = 14376^2 + 34932^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426914001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21637 + ... + 57636.

Almost surely, 21426914000 is an apocalyptic number.

1426914000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1426914000 is an abundant number, since it is smaller than the sum of its proper divisors (3556883832).

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

1426914000 is a wasteful number, since it uses less digits than its factorization.

1426914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79302 (or 79283 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1426914000 is about 37774.5152185968. The cubic root of 1426914000 is about 1125.8121542933.

The spelling of 1426914000 in words is "one billion, four hundred twenty-six million, nine hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 79273 158546 237819 317092 396365 475638 634184 713457 792730 951276 1189095 1268368 1426914 1585460 1902552 1981825 2378190 2853828 3170920 3567285 3805104 3963650 4756380 5707656 5945475 6341840 7134570 7927300 9512760 9909125 11415312 11890950 14269140 15854600 17836425 19025520 19818250 23781900 28538280 29727375 31709200 35672850 39636500 47563800 57076560 59454750 71345700 79273000 89182125 95127600 118909500 142691400 158546000 178364250 237819000 285382800 356728500 475638000 713457000 1426914000