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102450768 = 24372431013
BaseRepresentation
bin1100001101101…
…00011001010000
321010210001000220
412012310121100
5202211411033
614055513040
72352550200
oct606643120
9233701026
10102450768
1152915862
122a388780
13182c1174
14d86c400
158edabb3
hex61b4650

102450768 has 120 divisors (see below), whose sum is σ = 315345888. Its totient is φ = 28562688.

The previous prime is 102450767. The next prime is 102450853. The reversal of 102450768 is 867054201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102450767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100630 + ... + 101642.

Almost surely, 2102450768 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 102450768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157672944).

102450768 is an abundant number, since it is smaller than the sum of its proper divisors (212895120).

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

102450768 is a wasteful number, since it uses less digits than its factorization.

102450768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 102450768 is about 10121.7966784559. The cubic root of 102450768 is about 467.9201412427.

The spelling of 102450768 in words is "one hundred two million, four hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 129 147 168 172 196 258 294 301 336 344 392 516 588 602 688 784 903 1013 1032 1176 1204 1806 2026 2064 2107 2352 2408 3039 3612 4052 4214 4816 6078 6321 7091 7224 8104 8428 12156 12642 14182 14448 16208 16856 21273 24312 25284 28364 33712 42546 43559 48624 49637 50568 56728 85092 87118 99274 101136 113456 130677 148911 170184 174236 198548 261354 297822 304913 340368 348472 397096 522708 595644 609826 696944 794192 914739 1045416 1191288 1219652 1829478 2090832 2134391 2382576 2439304 3658956 4268782 4878608 6403173 7317912 8537564 12806346 14635824 17075128 25612692 34150256 51225384 102450768