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106703400 = 23352177839
BaseRepresentation
bin1100101110000…
…10101000101000
321102210002112210
412113002220220
5204304002100
614331005120
72433651426
oct627025050
9242702483
10106703400
115525a931
122b8997a0
131914ca0b
1410258116
15957ac50
hex65c2a28

106703400 has 48 divisors (see below), whose sum is σ = 330782400. Its totient is φ = 28454080.

The previous prime is 106703353. The next prime is 106703413. The reversal of 106703400 is 4307601.

It is a super-2 number, since 2×1067034002 = 22771231143120000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 88320 + ... + 89519.

It is an arithmetic number, because the mean of its divisors is an integer number (6891300).

Almost surely, 2106703400 is an apocalyptic number.

106703400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106703400 is an abundant number, since it is smaller than the sum of its proper divisors (224079000).

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

106703400 is a wasteful number, since it uses less digits than its factorization.

106703400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177858 (or 177849 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 106703400 is about 10329.7337816616. The cubic root of 106703400 is about 474.3068745787.

The spelling of 106703400 in words is "one hundred six million, seven hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 177839 355678 533517 711356 889195 1067034 1422712 1778390 2134068 2667585 3556780 4268136 4445975 5335170 7113560 8891950 10670340 13337925 17783900 21340680 26675850 35567800 53351700 106703400