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107094528 = 293361127
BaseRepresentation
bin1100110001000…
…10001000000000
321110111222002000
412120202020000
5204404011103
614343224000
72440200642
oct630421000
9243458060
10107094528
11554a7782
122ba48000
1319258a58
141031a892
159606aa3
hex6622200

107094528 has 160 divisors (see below), whose sum is σ = 324741120. Its totient is φ = 34836480.

The previous prime is 107094523. The next prime is 107094551. The reversal of 107094528 is 825490701.

It is a super-2 number, since 2×1070945282 = 22938475855085568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 107094492 and 107094501.

It is not an unprimeable number, because it can be changed into a prime (107094523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843201 + ... + 843327.

It is an arithmetic number, because the mean of its divisors is an integer number (2029632).

Almost surely, 2107094528 is an apocalyptic number.

107094528 is a gapful number since it is divisible by the number (18) 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 107094528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162370560).

107094528 is an abundant number, since it is smaller than the sum of its proper divisors (217646592).

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

107094528 is an equidigital number, since it uses as much as digits as its factorization.

107094528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 107094528 is about 10348.6486074270. The cubic root of 107094528 is about 474.8857017694.

The spelling of 107094528 in words is "one hundred seven million, ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 127 128 144 183 192 216 244 254 256 288 366 381 384 432 488 508 512 549 576 732 762 768 864 976 1016 1098 1143 1152 1464 1524 1536 1647 1728 1952 2032 2196 2286 2304 2928 3048 3294 3429 3456 3904 4064 4392 4572 4608 5856 6096 6588 6858 6912 7747 7808 8128 8784 9144 11712 12192 13176 13716 13824 15494 15616 16256 17568 18288 23241 23424 24384 26352 27432 30988 31232 32512 35136 36576 46482 46848 48768 52704 54864 61976 65024 69723 70272 73152 92964 93696 97536 105408 109728 123952 139446 140544 146304 185928 195072 209169 210816 219456 247904 278892 281088 292608 371856 418338 421632 438912 495808 557784 585216 743712 836676 843264 877824 991616 1115568 1487424 1673352 1755648 1983232 2231136 2974848 3346704 3966464 4462272 5949696 6693408 8924544 11899392 13386816 17849088 26773632 35698176 53547264 107094528