Search a number
-
+
2045103000 = 233531935879
BaseRepresentation
bin111100111100101…
…1100101110011000
312021112012222220120
41321321130232120
513142021244000
6534533353240
7101452042263
oct17171345630
95245188816
102045103000
1195a453176
12490a98820
13267909825
14155879cda
15be8216a0
hex79e5cb98

2045103000 has 128 divisors (see below), whose sum is σ = 6716736000. Its totient is φ = 516643200.

The previous prime is 2045102987. The next prime is 2045103031. The reversal of 2045103000 is 3015402.

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, 39061 + ... + 74939.

It is an arithmetic number, because the mean of its divisors is an integer number (52474500).

Almost surely, 22045103000 is an apocalyptic number.

2045103000 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 2045103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358368000).

2045103000 is an abundant number, since it is smaller than the sum of its proper divisors (4671633000).

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

2045103000 is a wasteful number, since it uses less digits than its factorization.

2045103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35922 (or 35908 counting only the distinct ones).

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

The square root of 2045103000 is about 45222.8150384294. The cubic root of 2045103000 is about 1269.3217698404.

Adding to 2045103000 its reverse (3015402), we get a palindrome (2048118402).

The spelling of 2045103000 in words is "two billion, forty-five million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 35879 57000 71758 107637 143516 179395 215274 287032 358790 430548 538185 681701 717580 861096 896975 1076370 1363402 1435160 1793950 2045103 2152740 2690925 2726804 3408505 3587900 4090206 4305480 4484875 5381850 5453608 6817010 7175800 8180412 8969750 10225515 10763700 13454625 13634020 16360824 17042525 17939500 20451030 21527400 26909250 27268040 34085050 35879000 40902060 51127575 53818500 68170100 81804120 85212625 102255150 107637000 136340200 170425250 204510300 255637875 340850500 409020600 511275750 681701000 1022551500 2045103000