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106008240 = 24351361557
BaseRepresentation
bin1100101000110…
…00111010110000
321101110202222010
412110120322300
5204114230430
614304042520
72425024632
oct624307260
9241422863
10106008240
1154925618
122b603440
1318c68490
1410116a52
15948ecb0
hex6518eb0

106008240 has 160 divisors (see below), whose sum is σ = 360351936. Its totient is φ = 25620480.

The previous prime is 106008229. The next prime is 106008241. The reversal of 106008240 is 42800601.

It is a super-2 number, since 2×1060082402 = 22475493895795200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106008241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190042 + ... + 190598.

Almost surely, 2106008240 is an apocalyptic number.

106008240 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 106008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180175968).

106008240 is an abundant number, since it is smaller than the sum of its proper divisors (254343696).

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

106008240 is a wasteful number, since it uses less digits than its factorization.

106008240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 106008240 is about 10296.0303029857. The cubic root of 106008240 is about 473.2746119488.

Adding to 106008240 its reverse (42800601), we get a palindrome (148808841).

The spelling of 106008240 in words is "one hundred six million, eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 61 65 78 80 104 120 122 130 156 183 195 208 240 244 260 305 312 366 390 488 520 557 610 624 732 780 793 915 976 1040 1114 1220 1464 1560 1586 1671 1830 2228 2379 2440 2785 2928 3120 3172 3342 3660 3965 4456 4758 4880 5570 6344 6684 7241 7320 7930 8355 8912 9516 11140 11895 12688 13368 14482 14640 15860 16710 19032 21723 22280 23790 26736 28964 31720 33420 33977 36205 38064 43446 44560 47580 57928 63440 66840 67954 72410 86892 95160 101931 108615 115856 133680 135908 144820 169885 173784 190320 203862 217230 271816 289640 339770 347568 407724 434460 441701 509655 543632 579280 679540 815448 868920 883402 1019310 1325103 1359080 1630896 1737840 1766804 2038620 2208505 2650206 2718160 3533608 4077240 4417010 5300412 6625515 7067216 8154480 8834020 10600824 13251030 17668040 21201648 26502060 35336080 53004120 106008240