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102291630 = 23571931827
BaseRepresentation
bin1100001100011…
…01100010101110
321010110221201220
412012031202232
5202141313010
614052244210
72351315220
oct606154256
9233427656
10102291630
1152817241
122a310666
13182668bc
14d82a410
158ea8970
hex618d8ae

102291630 has 128 divisors (see below), whose sum is σ = 305233920. Its totient is φ = 21409920.

The previous prime is 102291619. The next prime is 102291667. The reversal of 102291630 is 36192201.

It is a self number, because there is not a number n which added to its sum of digits gives 102291630.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 123277 + ... + 124103.

It is an arithmetic number, because the mean of its divisors is an integer number (2384640).

Almost surely, 2102291630 is an apocalyptic number.

102291630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102291630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152616960).

102291630 is an abundant number, since it is smaller than the sum of its proper divisors (202942290).

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

102291630 is a wasteful number, since it uses less digits than its factorization.

102291630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 102291630 is about 10113.9324696183. The cubic root of 102291630 is about 467.6777403790.

The spelling of 102291630 in words is "one hundred two million, two hundred ninety-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 31 35 38 42 57 62 70 93 95 105 114 133 155 186 190 210 217 266 285 310 399 434 465 570 589 651 665 798 827 930 1085 1178 1302 1330 1654 1767 1995 2170 2481 2945 3255 3534 3990 4123 4135 4962 5789 5890 6510 8246 8270 8835 11578 12369 12405 15713 17367 17670 20615 24738 24810 25637 28945 31426 34734 41230 47139 51274 57890 61845 76911 78565 86835 94278 109991 123690 128185 153822 157130 173670 179459 219982 235695 256370 329973 358918 384555 471390 487103 538377 549955 659946 769110 897295 974206 1076754 1099910 1461309 1649865 1794590 2435515 2691885 2922618 3299730 3409721 4871030 5383770 6819442 7306545 10229163 14613090 17048605 20458326 34097210 51145815 102291630