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2023145740 = 2257111313731
BaseRepresentation
bin111100010010110…
…1100000100001100
312012222220110012201
41320211230010030
513120411130430
6532431011244
7101064312040
oct17045540414
95188813181
102023145740
11949016380
12485669b24
132631bc575
141529a2020
15bc9358ca
hex7896c10c

2023145740 has 48 divisors (see below), whose sum is σ = 5296967424. Its totient is φ = 630590400.

The previous prime is 2023145737. The next prime is 2023145749. The reversal of 2023145740 is 475413202.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2023145699 and 2023145708.

It is not an unprimeable number, because it can be changed into a prime (2023145749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655326 + ... + 658405.

It is an arithmetic number, because the mean of its divisors is an integer number (110353488).

Almost surely, 22023145740 is an apocalyptic number.

2023145740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023145740 is an abundant number, since it is smaller than the sum of its proper divisors (3273821684).

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

2023145740 is a wasteful number, since it uses less digits than its factorization.

2023145740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313758 (or 1313756 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2023145740 is about 44979.3923925168. The cubic root of 2023145740 is about 1264.7627211486.

Adding to 2023145740 its reverse (475413202), we get a palindrome (2498558942).

The spelling of 2023145740 in words is "two billion, twenty-three million, one hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1313731 2627462 5254924 6568655 9196117 13137310 14451041 18392234 26274620 28902082 36784468 45980585 57804164 72255205 91961170 101157287 144510410 183922340 202314574 289020820 404629148 505786435 1011572870 2023145740