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1023148893 = 313173167743
BaseRepresentation
bin111100111111000…
…000001101011101
32122022020100102110
4330333000031131
54043411231033
6245305344233
734232423244
oct7477001535
92568210373
101023148893
114855a49a8
12246798079
13133c83960
1499c5595b
155ec55363
hex3cfc035d

1023148893 has 64 divisors (see below), whose sum is σ = 1631895552. Its totient is φ = 564157440.

The previous prime is 1023148849. The next prime is 1023148897. The reversal of 1023148893 is 3988413201.

It is not a de Polignac number, because 1023148893 - 29 = 1023148381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023148897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1376680 + ... + 1377422.

It is an arithmetic number, because the mean of its divisors is an integer number (25498368).

Almost surely, 21023148893 is an apocalyptic number.

1023148893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1023148893 is a deficient number, since it is larger than the sum of its proper divisors (608746659).

1023148893 is a wasteful number, since it uses less digits than its factorization.

1023148893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1023148893 is about 31986.6986886737. The cubic root of 1023148893 is about 1007.6575105269.

The spelling of 1023148893 in words is "one billion, twenty-three million, one hundred forty-eight thousand, eight hundred ninety-three".

Divisors: 1 3 13 17 31 39 51 67 93 201 221 403 527 663 743 871 1139 1209 1581 2077 2229 2613 3417 6231 6851 9659 12631 14807 20553 23033 27001 28977 35309 37893 44421 49781 69099 81003 105927 149343 164203 299429 391561 459017 492609 647153 846277 898287 1174683 1377051 1543211 1941459 2538831 4629633 5090293 11001601 15270879 20061743 26234587 33004803 60185229 78703761 341049631 1023148893