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102023424 = 283244281
BaseRepresentation
bin1100001010011…
…00000100000000
321002222022211100
412011030010000
5202104222144
614042414400
72346120246
oct605140400
9232868740
10102023424
1152653788
122a201400
13181a17b9
14d79a796
158e54269
hex614c100

102023424 has 54 divisors (see below), whose sum is σ = 294165326. Its totient is φ = 34007040.

The previous prime is 102023401. The next prime is 102023437. The reversal of 102023424 is 424320201.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 27373824 = 8640^2 + 5232^2 .

It is a super-3 number, since 3×1020234243 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102023397 and 102023406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19837 + ... + 24444.

Almost surely, 2102023424 is an apocalyptic number.

It is an amenable number.

102023424 is an abundant number, since it is smaller than the sum of its proper divisors (192141902).

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

102023424 is an equidigital number, since it uses as much as digits as its factorization.

102023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44303 (or 44286 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102023424 is about 10100.6645325939. The cubic root of 102023424 is about 467.2686363164.

Adding to 102023424 its reverse (424320201), we get a palindrome (526343625).

The spelling of 102023424 in words is "one hundred two million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 44281 88562 132843 177124 265686 354248 398529 531372 708496 797058 1062744 1416992 1594116 2125488 2833984 3188232 4250976 5667968 6376464 8501952 11335936 12752928 17003904 25505856 34007808 51011712 102023424