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102861192 = 23372471861
BaseRepresentation
bin1100010000110…
…00100110001000
321011112220000210
412020120212020
5202313024232
614112401120
72356206600
oct610304610
9234486023
10102861192
1153076155
122a5461a0
1318405c15
14d937c00
15906c5cc
hex6218988

102861192 has 96 divisors (see below), whose sum is σ = 305665920. Its totient is φ = 28748160.

The previous prime is 102861163. The next prime is 102861197. The reversal of 102861192 is 291168201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102861197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54342 + ... + 56202.

It is an arithmetic number, because the mean of its divisors is an integer number (3184020).

Almost surely, 2102861192 is an apocalyptic number.

102861192 is a gapful number since it is divisible by the number (12) 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 102861192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152832960).

102861192 is an abundant number, since it is smaller than the sum of its proper divisors (202804728).

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

102861192 is a wasteful number, since it uses less digits than its factorization.

102861192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 102861192 is about 10142.0506802126. The cubic root of 102861192 is about 468.5441475505.

The spelling of 102861192 in words is "one hundred two million, eight hundred sixty-one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 49 56 84 94 98 141 147 168 188 196 282 294 329 376 392 564 588 658 987 1128 1176 1316 1861 1974 2303 2632 3722 3948 4606 5583 6909 7444 7896 9212 11166 13027 13818 14888 18424 22332 26054 27636 39081 44664 52108 55272 78162 87467 91189 104216 156324 174934 182378 262401 273567 312648 349868 364756 524802 547134 612269 699736 729512 1049604 1094268 1224538 1836807 2099208 2188536 2449076 3673614 4285883 4898152 7347228 8571766 12857649 14694456 17143532 25715298 34287064 51430596 102861192