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102430320 = 24352914717
BaseRepresentation
bin1100001101011…
…11011001110000
321010201222222120
412012233121300
5202210232240
614055234240
72352433446
oct606573160
9233658876
10102430320
1152901463
122a378980
13182b4a75
14d864b96
158ed4ad0
hex61af670

102430320 has 80 divisors (see below), whose sum is σ = 328505760. Its totient is φ = 26371072.

The previous prime is 102430309. The next prime is 102430327. The reversal of 102430320 is 23034201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102430320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102430327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399 + ... + 14318.

It is an arithmetic number, because the mean of its divisors is an integer number (4106322).

Almost surely, 2102430320 is an apocalyptic number.

102430320 is a gapful number since it is divisible by the number (10) 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 102430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164252880).

102430320 is an abundant number, since it is smaller than the sum of its proper divisors (226075440).

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

102430320 is a wasteful number, since it uses less digits than its factorization.

102430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762 (or 14756 counting only the distinct ones).

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

The square root of 102430320 is about 10120.7865307001. The cubic root of 102430320 is about 467.8890086709.

Adding to 102430320 its reverse (23034201), we get a palindrome (125464521).

The spelling of 102430320 in words is "one hundred two million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 14717 29434 44151 58868 73585 88302 117736 147170 176604 220755 235472 294340 353208 426793 441510 588680 706416 853586 883020 1177360 1280379 1707172 1766040 2133965 2560758 3414344 3532080 4267930 5121516 6401895 6828688 8535860 10243032 12803790 17071720 20486064 25607580 34143440 51215160 102430320