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2090426130 = 234513672963
BaseRepresentation
bin111110010011001…
…0101111100010010
312101200111122120000
41330212111330102
513240122114010
6543233030430
7102542220552
oct17446257422
95350448500
102090426130
11982a9a101
124a40b5416
13274118250
1415b8b7162
15c37c57c0
hex7c995f12

2090426130 has 160 divisors (see below), whose sum is σ = 6145723584. Its totient is φ = 506715264.

The previous prime is 2090426119. The next prime is 2090426147. The reversal of 2090426130 is 316240902.

2090426130 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 42 + 613 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2090426094 and 2090426103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 704029 + ... + 706991.

Almost surely, 22090426130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090426130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072861792).

2090426130 is an abundant number, since it is smaller than the sum of its proper divisors (4055297454).

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

2090426130 is a wasteful number, since it uses less digits than its factorization.

2090426130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2090426130 is about 45721.1781344269. The cubic root of 2090426130 is about 1278.6301527673.

The spelling of 2090426130 in words is "two billion, ninety million, four hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 67 78 81 90 117 130 134 135 162 195 201 234 270 335 351 390 402 405 585 603 670 702 810 871 1005 1053 1170 1206 1742 1755 1809 2010 2106 2613 2963 3015 3510 3618 4355 5226 5265 5427 5926 6030 7839 8710 8889 9045 10530 10854 13065 14815 15678 17778 18090 23517 26130 26667 27135 29630 38519 39195 44445 47034 53334 54270 70551 77038 78390 80001 88890 115557 117585 133335 141102 160002 192595 198521 231114 235170 240003 266670 346671 352755 385190 397042 400005 480006 577785 595563 693342 705510 800010 992605 1040013 1155570 1191126 1200015 1733355 1786689 1985210 2080026 2400030 2580773 2977815 3120039 3466710 3573378 5161546 5200065 5360067 5955630 6240078 7742319 8933445 10400130 10720134 12903865 15484638 15600195 16080201 17866890 23226957 25807730 26800335 31200390 32160402 38711595 46453914 53600670 69680871 77423190 80401005 116134785 139361742 160802010 209042613 232269570 348404355 418085226 696808710 1045213065 2090426130