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106240000 = 2115483
BaseRepresentation
bin1100101010100…
…01100000000000
321101220112212211
412111101200000
5204144140000
614313031504
72430011416
oct625214000
9241815784
10106240000
1154a73759
122b6b5594
1319019b09
14101772b6
1594d87ba
hex6551800

106240000 has 120 divisors (see below), whose sum is σ = 268648380. Its totient is φ = 41984000.

The previous prime is 106239997. The next prime is 106240019. The reversal of 106240000 is 42601.

It is a super-2 number, since 2×1062400002 = 22573875200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1279959 + ... + 1280041.

Almost surely, 2106240000 is an apocalyptic number.

106240000 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 106240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134324190).

106240000 is an abundant number, since it is smaller than the sum of its proper divisors (162408380).

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

106240000 is an frugal number, since it uses more digits than its factorization.

106240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 106240000 is about 10307.2789813801. The cubic root of 106240000 is about 473.6192590172.

Adding to 106240000 its reverse (42601), we get a palindrome (106282601).

The spelling of 106240000 in words is "one hundred six million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 125 128 160 166 200 250 256 320 332 400 415 500 512 625 640 664 800 830 1000 1024 1250 1280 1328 1600 1660 2000 2048 2075 2500 2560 2656 3200 3320 4000 4150 5000 5120 5312 6400 6640 8000 8300 10000 10240 10375 10624 12800 13280 16000 16600 20000 20750 21248 25600 26560 32000 33200 40000 41500 42496 51200 51875 53120 64000 66400 80000 83000 84992 103750 106240 128000 132800 160000 166000 169984 207500 212480 256000 265600 320000 332000 415000 424960 531200 640000 664000 830000 849920 1062400 1280000 1328000 1660000 2124800 2656000 3320000 4249600 5312000 6640000 10624000 13280000 21248000 26560000 53120000 106240000