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20103840 = 2532523607
BaseRepresentation
bin100110010110…
…0001010100000
31101211101021200
41030230022200
520121310330
61554521200
7332610531
oct114541240
941741250
1020103840
1110391349
126896200
13421b783
142954688
151b71a60
hex132c2a0

20103840 has 144 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 5119488.

The previous prime is 20103821. The next prime is 20103859. The reversal of 20103840 is 4830102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20103821) and next prime (20103859).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32817 + ... + 33423.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 220103840 is an apocalyptic number.

20103840 is a gapful number since it is divisible by the number (20) 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 20103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

20103840 is an abundant number, since it is smaller than the sum of its proper divisors (51601248).

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

20103840 is a wasteful number, since it uses less digits than its factorization.

20103840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20103840 is about 4483.7305895872. The cubic root of 20103840 is about 271.9107261811.

Adding to 20103840 its reverse (4830102), we get a palindrome (24933942).

The spelling of 20103840 in words is "twenty million, one hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 607 690 720 736 828 920 1035 1104 1214 1380 1440 1656 1821 1840 2070 2208 2428 2760 3035 3312 3642 3680 4140 4856 5463 5520 6070 6624 7284 8280 9105 9712 10926 11040 12140 13961 14568 16560 18210 19424 21852 24280 27315 27922 29136 33120 36420 41883 43704 48560 54630 55844 58272 69805 72840 83766 87408 97120 109260 111688 125649 139610 145680 167532 174816 209415 218520 223376 251298 279220 291360 335064 418830 437040 446752 502596 558440 628245 670128 837660 874080 1005192 1116880 1256490 1340256 1675320 2010384 2233760 2512980 3350640 4020768 5025960 6701280 10051920 20103840