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2054103000 = 233536591039
BaseRepresentation
bin111101001101111…
…0001111111011000
312022011011020120220
41322123301333120
513201322244000
6535454320040
7101621405325
oct17233617730
95264136526
102054103000
1196453aa94
12493ab9020
1326973b181
14156b3db4c
15c04ed1a0
hex7a6f1fd8

2054103000 has 128 divisors (see below), whose sum is σ = 6424704000. Its totient is φ = 546403200.

The previous prime is 2054102987. The next prime is 2054103019. The reversal of 2054103000 is 3014502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1976481 + ... + 1977519.

It is an arithmetic number, because the mean of its divisors is an integer number (50193000).

Almost surely, 22054103000 is an apocalyptic number.

2054103000 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 2054103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212352000).

2054103000 is an abundant number, since it is smaller than the sum of its proper divisors (4370601000).

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

2054103000 is a wasteful number, since it uses less digits than its factorization.

2054103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2054103000 is about 45322.2130968910. The cubic root of 2054103000 is about 1271.1810370512.

Adding to 2054103000 its reverse (3014502), we get a palindrome (2057117502).

The spelling of 2054103000 in words is "two billion, fifty-four million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 659 750 1000 1039 1318 1500 1977 2078 2636 3000 3117 3295 3954 4156 5195 5272 6234 6590 7908 8312 9885 10390 12468 13180 15585 15816 16475 19770 20780 24936 25975 26360 31170 32950 39540 41560 49425 51950 62340 65900 77925 79080 82375 98850 103900 124680 129875 131800 155850 164750 197700 207800 247125 259750 311700 329500 389625 395400 494250 519500 623400 659000 684701 779250 988500 1039000 1369402 1558500 1977000 2054103 2738804 3117000 3423505 4108206 5477608 6847010 8216412 10270515 13694020 16432824 17117525 20541030 27388040 34235050 41082060 51352575 68470100 82164120 85587625 102705150 136940200 171175250 205410300 256762875 342350500 410820600 513525750 684701000 1027051500 2054103000