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188106000 = 24353107293
BaseRepresentation
bin10110011011001…
…00010100010000
3111002221202220220
423031210110100
5341123343000
630355433040
74442605665
oct1315442420
9432852826
10188106000
11971a9905
1252bb5780
132cc81634
141ada7a6c
15117aa1a0
hexb364510

188106000 has 160 divisors (see below), whose sum is σ = 614210688. Its totient is φ = 49523200.

The previous prime is 188105993. The next prime is 188106011. The reversal of 188106000 is 601881.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 641854 + ... + 642146.

Almost surely, 2188106000 is an apocalyptic number.

188106000 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 188106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105344).

188106000 is an abundant number, since it is smaller than the sum of its proper divisors (426104688).

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

188106000 is a wasteful number, since it uses less digits than its factorization.

188106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 188106000 is about 13715.1740783703. The cubic root of 188106000 is about 572.9730775676.

Adding to 188106000 its reverse (601881), we get a palindrome (188707881).

It can be divided in two parts, 18 and 8106000, that added together give a palindrome (8106018).

The spelling of 188106000 in words is "one hundred eighty-eight million, one hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 107 120 125 150 200 214 240 250 293 300 321 375 400 428 500 535 586 600 642 750 856 879 1000 1070 1172 1200 1284 1465 1500 1605 1712 1758 2000 2140 2344 2568 2675 2930 3000 3210 3516 4280 4395 4688 5136 5350 5860 6000 6420 7032 7325 8025 8560 8790 10700 11720 12840 13375 14064 14650 16050 17580 21400 21975 23440 25680 26750 29300 31351 32100 35160 36625 40125 42800 43950 53500 58600 62702 64200 70320 73250 80250 87900 94053 107000 109875 117200 125404 128400 146500 156755 160500 175800 188106 214000 219750 250808 293000 313510 321000 351600 376212 439500 470265 501616 586000 627020 642000 752424 783775 879000 940530 1254040 1504848 1567550 1758000 1881060 2351325 2508080 3135100 3762120 3918875 4702650 6270200 7524240 7837750 9405300 11756625 12540400 15675500 18810600 23513250 31351000 37621200 47026500 62702000 94053000 188106000