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1353900000 = 253554513
BaseRepresentation
bin101000010110010…
…1101111111100000
310111100121020122110
41100230231333200
510233044300000
6342202435320
745356650215
oct12054557740
93440536573
101353900000
11635272122
12319502b40
1318765a57b
14cbb51b0c
157dcda850
hex50b2dfe0

1353900000 has 144 divisors (see below), whose sum is σ = 4443184368. Its totient is φ = 360960000.

The previous prime is 1353899993. The next prime is 1353900013. The reversal of 1353900000 is 93531.

It is a self number, because there is not a number n which added to its sum of digits gives 1353900000.

It is a congruent number.

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, 297744 + ... + 302256.

It is an arithmetic number, because the mean of its divisors is an integer number (30855447).

Almost surely, 21353900000 is an apocalyptic number.

1353900000 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 1353900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221592184).

1353900000 is an abundant number, since it is smaller than the sum of its proper divisors (3089284368).

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

1353900000 is an frugal number, since it uses more digits than its factorization.

1353900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4551 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 1353900000 is about 36795.3801447954. The cubic root of 1353900000 is about 1106.2727021419.

Adding to 1353900000 its reverse (93531), we get a palindrome (1353993531).

The spelling of 1353900000 in words is "one billion, three hundred fifty-three million, nine hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 4513 5000 6000 6250 7500 9026 9375 10000 12000 12500 13539 15000 18052 18750 20000 22565 25000 27078 30000 36104 37500 45130 50000 54156 60000 67695 72208 75000 90260 100000 108312 112825 135390 144416 150000 180520 216624 225650 270780 300000 338475 361040 433248 451300 541560 564125 676950 722080 902600 1083120 1128250 1353900 1692375 1805200 2166240 2256500 2707800 2820625 3384750 3610400 4513000 5415600 5641250 6769500 8461875 9026000 10831200 11282500 13539000 14103125 16923750 18052000 22565000 27078000 28206250 33847500 42309375 45130000 54156000 56412500 67695000 84618750 90260000 112825000 135390000 169237500 225650000 270780000 338475000 451300000 676950000 1353900000