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102023232 = 2633161281
BaseRepresentation
bin1100001010011…
…00000001000000
321002222022120020
412011030001000
5202104220412
614042413440
72346116553
oct605140100
9232868506
10102023232
1152653623
122a201280
13181a169c
14d79a69a
158e5418c
hex614c040

102023232 has 112 divisors (see below), whose sum is σ = 284219904. Its totient is φ = 32256000.

The previous prime is 102023221. The next prime is 102023249. The reversal of 102023232 is 232320201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 362932 + ... + 363212.

Almost surely, 2102023232 is an apocalyptic number.

102023232 is a gapful number since it is divisible by the number (12) 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 102023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142109952).

102023232 is an abundant number, since it is smaller than the sum of its proper divisors (182196672).

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

102023232 is a wasteful number, since it uses less digits than its factorization.

102023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 102023232 is about 10100.6550282643. The cubic root of 102023232 is about 467.2683431953.

Adding to 102023232 its reverse (232320201), we get a palindrome (334343433).

The spelling of 102023232 in words is "one hundred two million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 64 93 96 122 124 183 186 192 244 248 281 366 372 488 496 562 732 744 843 976 992 1124 1464 1488 1686 1891 1952 1984 2248 2928 2976 3372 3782 3904 4496 5673 5856 5952 6744 7564 8711 8992 11346 11712 13488 15128 17141 17422 17984 22692 26133 26976 30256 34282 34844 45384 51423 52266 53952 60512 68564 69688 90768 102846 104532 121024 137128 139376 181536 205692 209064 274256 278752 363072 411384 418128 531371 548512 557504 822768 836256 1062742 1097024 1594113 1645536 1672512 2125484 3188226 3291072 4250968 6376452 8501936 12752904 17003872 25505808 34007744 51011616 102023232