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103942200 = 23352191907
BaseRepresentation
bin1100011001000…
…00100000111000
321020120210220010
412030200200320
5203102122300
614151501520
72401331325
oct614404070
9236523803
10103942200
115374434a
122a9878a0
13186c3c7b
14db39b4c
1591d2a50
hex6320838

103942200 has 96 divisors (see below), whose sum is σ = 324264960. Its totient is φ = 27542400.

The previous prime is 103942183. The next prime is 103942207. The reversal of 103942200 is 2249301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103942207) 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, 114147 + ... + 115053.

It is an arithmetic number, because the mean of its divisors is an integer number (3377760).

Almost surely, 2103942200 is an apocalyptic number.

103942200 is a gapful number since it is divisible by the number (10) 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 103942200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162132480).

103942200 is an abundant number, since it is smaller than the sum of its proper divisors (220322760).

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

103942200 is a wasteful number, since it uses less digits than its factorization.

103942200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 103942200 is about 10195.2047551778. The cubic root of 103942200 is about 470.1798014349.

The spelling of 103942200 in words is "one hundred three million, nine hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 191 200 300 382 573 600 764 907 955 1146 1528 1814 1910 2292 2721 2865 3628 3820 4535 4584 4775 5442 5730 7256 7640 9070 9550 10884 11460 13605 14325 18140 19100 21768 22675 22920 27210 28650 36280 38200 45350 54420 57300 68025 90700 108840 114600 136050 173237 181400 272100 346474 519711 544200 692948 866185 1039422 1385896 1732370 2078844 2598555 3464740 4157688 4330925 5197110 6929480 8661850 10394220 12992775 17323700 20788440 25985550 34647400 51971100 103942200