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1350554000 = 24531076311
BaseRepresentation
bin101000001111111…
…1101000110010000
310111010022020210112
41100133331012100
510231220212000
6342003020452
745316343135
oct12037750620
93433266715
101350554000
11633397234
1231836a728
13186a585a3
14cb52058c
157d879235
hex507fd190

1350554000 has 80 divisors (see below), whose sum is σ = 3296681856. Its totient is φ = 535088000.

The previous prime is 1350553999. The next prime is 1350554017. The reversal of 1350554000 is 4550531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13505540002 = 3647992213832000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210845 + ... + 217155.

Almost surely, 21350554000 is an apocalyptic number.

1350554000 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 1350554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648340928).

1350554000 is an abundant number, since it is smaller than the sum of its proper divisors (1946127856).

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

1350554000 is a wasteful number, since it uses less digits than its factorization.

1350554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 1350554000 is about 36749.8843535595. The cubic root of 1350554000 is about 1105.3606106537.

The spelling of 1350554000 in words is "one billion, three hundred fifty million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 856 1000 1070 1712 2000 2140 2675 4280 5350 6311 8560 10700 12622 13375 21400 25244 26750 31555 42800 50488 53500 63110 100976 107000 126220 157775 214000 252440 315550 504880 631100 675277 788875 1262200 1350554 1577750 2524400 2701108 3155500 3376385 5402216 6311000 6752770 10804432 12622000 13505540 16881925 27011080 33763850 54022160 67527700 84409625 135055400 168819250 270110800 337638500 675277000 1350554000