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102161670 = 235131719811
BaseRepresentation
bin1100001011011…
…01110100000110
321010020100110120
412011231310012
5202123133140
614045402410
72350234302
oct605556406
9233210416
10102161670
1152738636
122a269406
131821c6c0
14d7d4d02
158e801d0
hex616dd06

102161670 has 128 divisors (see below), whose sum is σ = 294658560. Its totient is φ = 22394880.

The previous prime is 102161669. The next prime is 102161671. The reversal of 102161670 is 76161201.

It is an interprime number because it is at equal distance from previous prime (102161669) and next prime (102161671).

It is a self number, because there is not a number n which added to its sum of digits gives 102161670.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102161671) 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 63 ways as a sum of consecutive naturals, for example, 125565 + ... + 126375.

It is an arithmetic number, because the mean of its divisors is an integer number (2302020).

Almost surely, 2102161670 is an apocalyptic number.

102161670 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 102161670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147329280).

102161670 is an abundant number, since it is smaller than the sum of its proper divisors (192496890).

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

102161670 is a wasteful number, since it uses less digits than its factorization.

102161670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 102161670 is about 10107.5056270081. The cubic root of 102161670 is about 467.4795972298.

It can be divided in two parts, 102161 and 670, that added together give a triangular number (102831 = T453).

The spelling of 102161670 in words is "one hundred two million, one hundred sixty-one thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 17 19 26 30 34 38 39 51 57 65 78 85 95 102 114 130 170 190 195 221 247 255 285 323 390 442 494 510 570 646 663 741 811 969 1105 1235 1326 1482 1615 1622 1938 2210 2433 2470 3230 3315 3705 4055 4199 4845 4866 6630 7410 8110 8398 9690 10543 12165 12597 13787 15409 20995 21086 24330 25194 27574 30818 31629 41361 41990 46227 52715 62985 63258 68935 77045 82722 92454 105430 125970 137870 154090 158145 179231 200317 206805 231135 261953 316290 358462 400634 413610 462270 523906 537693 600951 785859 896155 1001585 1075386 1201902 1309765 1571718 1792310 2003170 2619530 2688465 3004755 3405389 3929295 5376930 6009510 6810778 7858590 10216167 17026945 20432334 34053890 51080835 102161670