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102025140 = 22357421577
BaseRepresentation
bin1100001010011…
…00011110110100
321002222102011220
412011030132310
5202104301030
614042430340
72346125250
oct605143664
9232872156
10102025140
1152654aa8
122a2023b0
13181a2509
14d79b260
158e54a10
hex614c7b4

102025140 has 96 divisors (see below), whose sum is σ = 327823104. Its totient is φ = 23224320.

The previous prime is 102025139. The next prime is 102025141. The reversal of 102025140 is 41520201.

102025140 = T475 + T476 + ... + T895.

It is an interprime number because it is at equal distance from previous prime (102025139) and next prime (102025141).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102025141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176532 + ... + 177108.

It is an arithmetic number, because the mean of its divisors is an integer number (3414824).

Almost surely, 2102025140 is an apocalyptic number.

102025140 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 102025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163911552).

102025140 is an abundant number, since it is smaller than the sum of its proper divisors (225797964).

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

102025140 is a wasteful number, since it uses less digits than its factorization.

102025140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 102025140 is about 10100.7494771428. The cubic root of 102025140 is about 467.2712560693.

Adding to 102025140 its reverse (41520201), we get a palindrome (143545341).

The spelling of 102025140 in words is "one hundred two million, twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 421 577 842 1154 1263 1684 1731 2105 2308 2526 2885 2947 3462 4039 4210 5052 5770 5894 6315 6924 8078 8420 8655 8841 11540 11788 12117 12630 14735 16156 17310 17682 20195 24234 25260 29470 34620 35364 40390 44205 48468 58940 60585 80780 88410 121170 176820 242340 242917 485834 728751 971668 1214585 1457502 1700419 2429170 2915004 3400838 3643755 4858340 5101257 6801676 7287510 8502095 10202514 14575020 17004190 20405028 25506285 34008380 51012570 102025140