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1023135400 = 23527730811
BaseRepresentation
bin111100111110111…
…100111010101000
32122022012122220201
4330332330322220
54043410313100
6245305201544
734232336020
oct7476747250
92568178821
101023135400
11485595851
122467902b4
13133c7a781
1499c50a80
155ec5136a
hex3cfbcea8

1023135400 has 48 divisors (see below), whose sum is σ = 2718620640. Its totient is φ = 350788800.

The previous prime is 1023135383. The next prime is 1023135431. The reversal of 1023135400 is 45313201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364006 + ... + 366805.

It is an arithmetic number, because the mean of its divisors is an integer number (56637930).

Almost surely, 21023135400 is an apocalyptic number.

1023135400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023135400 is an abundant number, since it is smaller than the sum of its proper divisors (1695485240).

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

1023135400 is a wasteful number, since it uses less digits than its factorization.

1023135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730834 (or 730825 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1023135400 is about 31986.4877721828. The cubic root of 1023135400 is about 1007.6530809394.

Adding to 1023135400 its reverse (45313201), we get a palindrome (1068448601).

The spelling of 1023135400 in words is "one billion, twenty-three million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 730811 1461622 2923244 3654055 5115677 5846488 7308110 10231354 14616220 18270275 20462708 25578385 29232440 36540550 40925416 51156770 73081100 102313540 127891925 146162200 204627080 255783850 511567700 1023135400