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102323664 = 243219149251
BaseRepresentation
bin1100001100101…
…01010111010000
321010112120200100
412012111113100
5202143324124
614053052400
72351510502
oct606252720
9233476610
10102323664
1152839313
122a327100
1318278361
14d837d72
158eb31c9
hex61955d0

102323664 has 120 divisors (see below), whose sum is σ = 304668000. Its totient is φ = 31968000.

The previous prime is 102323633. The next prime is 102323681. The reversal of 102323664 is 466323201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407539 + ... + 407789.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2102323664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102323664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334000).

102323664 is an abundant number, since it is smaller than the sum of its proper divisors (202344336).

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

102323664 is a wasteful number, since it uses less digits than its factorization.

102323664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 102323664 is about 10115.5160026565. The cubic root of 102323664 is about 467.7265551423.

Adding to 102323664 its reverse (466323201), we get a palindrome (568646865).

The spelling of 102323664 in words is "one hundred two million, three hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 149 152 171 228 251 298 304 342 447 456 502 596 684 753 894 912 1004 1192 1341 1368 1506 1788 2008 2259 2384 2682 2736 2831 3012 3576 4016 4518 4769 5364 5662 6024 7152 8493 9036 9538 10728 11324 12048 14307 16986 18072 19076 21456 22648 25479 28614 33972 36144 37399 38152 42921 45296 50958 57228 67944 74798 76304 85842 101916 112197 114456 135888 149596 171684 203832 224394 228912 299192 336591 343368 407664 448788 598384 673182 686736 710581 897576 1346364 1421162 1795152 2131743 2692728 2842324 4263486 5385456 5684648 6395229 8526972 11369296 12790458 17053944 25580916 34107888 51161832 102323664