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103381992 = 23327415003
BaseRepresentation
bin1100010100101…
…11101111101000
321012112100102200
412022113233220
5202431210432
614131500200
72363506140
oct612275750
9235470380
10103381992
11533a146a
122a757660
1318558c9c
14da31920
159121a7c
hex6297be8

103381992 has 96 divisors (see below), whose sum is σ = 327862080. Its totient is φ = 28811520.

The previous prime is 103381991. The next prime is 103382017. The reversal of 103381992 is 299183301.

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

It is not an unprimeable number, because it can be changed into a prime (103381991) 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, 18163 + ... + 23165.

It is an arithmetic number, because the mean of its divisors is an integer number (3415230).

Almost surely, 2103381992 is an apocalyptic number.

103381992 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 103381992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163931040).

103381992 is an abundant number, since it is smaller than the sum of its proper divisors (224480088).

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

103381992 is a wasteful number, since it uses less digits than its factorization.

103381992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 103381992 is about 10167.6935437689. The cubic root of 103381992 is about 469.3335839753. Note that the first 3 decimals are identical.

The spelling of 103381992 in words is "one hundred three million, three hundred eighty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3444 5003 5166 6888 10006 10332 15009 20012 20664 30018 35021 40024 45027 60036 70042 90054 105063 120072 140084 180108 205123 210126 280168 315189 360216 410246 420252 615369 630378 820492 840504 1230738 1260756 1435861 1640984 1846107 2461476 2521512 2871722 3692214 4307583 4922952 5743444 7384428 8615166 11486888 12922749 14768856 17230332 25845498 34460664 51690996 103381992