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102943400 = 23527232139
BaseRepresentation
bin1100010001011…
…00101010101000
321011201001210112
412020230222220
5202323142100
614114233452
72360001350
oct610545250
9234631715
10102943400
115312199a
122a585888
1318434471
14d959b60
159086b35
hex622caa8

102943400 has 144 divisors (see below), whose sum is σ = 288002400. Its totient is φ = 33517440.

The previous prime is 102943369. The next prime is 102943403. The reversal of 102943400 is 4349201.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (102943403) 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 35 ways as a sum of consecutive naturals, for example, 740531 + ... + 740669.

Almost surely, 2102943400 is an apocalyptic number.

102943400 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 102943400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144001200).

102943400 is an abundant number, since it is smaller than the sum of its proper divisors (185059000).

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

102943400 is a wasteful number, since it uses less digits than its factorization.

102943400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 102943400 is about 10146.1027000519. The cubic root of 102943400 is about 468.6689365006.

The spelling of 102943400 in words is "one hundred two million, nine hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 139 140 161 175 184 200 230 278 280 322 350 460 529 556 575 644 695 700 805 920 973 1058 1112 1150 1288 1390 1400 1610 1946 2116 2300 2645 2780 3197 3220 3475 3703 3892 4025 4232 4600 4865 5290 5560 6394 6440 6950 7406 7784 8050 9730 10580 12788 13225 13900 14812 15985 16100 18515 19460 21160 22379 24325 25576 26450 27800 29624 31970 32200 37030 38920 44758 48650 52900 63940 73531 74060 79925 89516 92575 97300 105800 111895 127880 147062 148120 159850 179032 185150 194600 223790 294124 319700 367655 370300 447580 514717 559475 588248 639400 735310 740600 895160 1029434 1118950 1470620 1838275 2058868 2237900 2573585 2941240 3676550 4117736 4475800 5147170 7353100 10294340 12867925 14706200 20588680 25735850 51471700 102943400