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107348000 = 255347571
BaseRepresentation
bin1100110011000…
…00000000100000
321110222211202212
412121200000200
5204440114000
614352501252
72442304634
oct631400040
9243884685
10107348000
1155660161
122bb4a828
1319317236
1410384dc4
159656c35
hex6660020

107348000 has 96 divisors (see below), whose sum is σ = 269837568. Its totient is φ = 41952000.

The previous prime is 107347997. The next prime is 107348011. The reversal of 107348000 is 843701.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187715 + ... + 188285.

It is an arithmetic number, because the mean of its divisors is an integer number (2810808).

Almost surely, 2107348000 is an apocalyptic number.

107348000 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 107348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134918784).

107348000 is an abundant number, since it is smaller than the sum of its proper divisors (162489568).

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

107348000 is an equidigital number, since it uses as much as digits as its factorization.

107348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 107348000 is about 10360.8879928315. The cubic root of 107348000 is about 475.2600607312.

The spelling of 107348000 in words is "one hundred seven million, three hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 571 752 800 940 1000 1142 1175 1504 1880 2000 2284 2350 2855 3760 4000 4568 4700 5710 5875 7520 9136 9400 11420 11750 14275 18272 18800 22840 23500 26837 28550 37600 45680 47000 53674 57100 71375 91360 94000 107348 114200 134185 142750 188000 214696 228400 268370 285500 429392 456800 536740 571000 670925 858784 1073480 1142000 1341850 2146960 2284000 2683700 3354625 4293920 5367400 6709250 10734800 13418500 21469600 26837000 53674000 107348000