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102823992 = 2339653
BaseRepresentation
bin1100010000011…
…11100000111000
321011111000000000
412020033200320
5202310331432
614111513000
72355663255
oct610174070
9234430000
10102823992
1153050207
122a528760
13183c1ccb
14d92842c
15906157c
hex620f838

102823992 has 80 divisors (see below), whose sum is σ = 289630440. Its totient is φ = 34222176.

The previous prime is 102823949. The next prime is 102823997. The reversal of 102823992 is 299328201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102823997) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 157138 + ... + 157790.

Almost surely, 2102823992 is an apocalyptic number.

102823992 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 102823992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144815220).

102823992 is an abundant number, since it is smaller than the sum of its proper divisors (186806448).

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

102823992 is an frugal number, since it uses more digits than its factorization.

102823992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 102823992 is about 10140.2165657347. The cubic root of 102823992 is about 468.4876573636.

The spelling of 102823992 in words is "one hundred two million, eight hundred twenty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 653 729 972 1306 1458 1944 1959 2187 2612 2916 3918 4374 5224 5832 5877 6561 7836 8748 11754 13122 15672 17496 17631 19683 23508 26244 35262 39366 47016 52488 52893 70524 78732 105786 141048 157464 158679 211572 317358 423144 476037 634716 952074 1269432 1428111 1904148 2856222 3808296 4284333 5712444 8568666 11424888 12852999 17137332 25705998 34274664 51411996 102823992