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103164528 = 24319314189
BaseRepresentation
bin1100010011000…
…10101001110000
321012010022010110
412021202221300
5202402231103
614123101320
72361612135
oct611425160
9235108113
10103164528
1153263045
122a671840
13184b0ccc
14d9b658c
1590cc403
hex6262a70

103164528 has 160 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 30412800.

The previous prime is 103164469. The next prime is 103164533. The reversal of 103164528 is 825461301.

It is a junction number, because it is equal to n+sod(n) for n = 103164495 and 103164504.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1159108 + ... + 1159196.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2103164528 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 103164528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

103164528 is an abundant number, since it is smaller than the sum of its proper divisors (196816272).

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

103164528 is a wasteful number, since it uses less digits than its factorization.

103164528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 103164528 is about 10156.9940435150. The cubic root of 103164528 is about 469.0042719305.

The spelling of 103164528 in words is "one hundred three million, one hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 41 48 57 62 76 82 89 93 114 123 124 152 164 178 186 228 246 248 267 304 328 356 372 456 492 496 534 589 656 712 744 779 912 984 1068 1178 1271 1424 1488 1558 1691 1767 1968 2136 2337 2356 2542 2759 3116 3382 3534 3649 3813 4272 4674 4712 5073 5084 5518 6232 6764 7068 7298 7626 8277 9348 9424 10146 10168 10947 11036 12464 13528 14136 14596 15252 16554 18696 20292 20336 21894 22072 24149 27056 28272 29192 30504 33108 37392 40584 43788 44144 48298 52421 58384 61008 66216 69331 72447 81168 87576 96596 104842 113119 132432 138662 144894 157263 175152 193192 207993 209684 226238 277324 289788 314526 339357 386384 415986 419368 452476 554648 579576 629052 678714 831972 838736 904952 1109296 1159152 1258104 1357428 1663944 1809904 2149261 2516208 2714856 3327888 4298522 5429712 6447783 8597044 12895566 17194088 25791132 34388176 51582264 103164528