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1990634130 = 23552335617
BaseRepresentation
bin111011010100110…
…1010101010010010
312010201201200200000
41312221222222102
513034100243010
6525310110430
7100221053022
oct16651525222
95121650600
101990634130
1193172a981
124767ab416
13259548324
1414c53ba82
15b9b627c0
hex76a6aa92

1990634130 has 96 divisors (see below), whose sum is σ = 5600859264. Its totient is φ = 507741696.

The previous prime is 1990634111. The next prime is 1990634137. The reversal of 1990634130 is 314360991.

1990634130 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 634 + 13 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1990634137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38082 + ... + 73698.

It is an arithmetic number, because the mean of its divisors is an integer number (58342284).

Almost surely, 21990634130 is an apocalyptic number.

1990634130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990634130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800429632).

1990634130 is an abundant number, since it is smaller than the sum of its proper divisors (3610225134).

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

1990634130 is a wasteful number, since it uses less digits than its factorization.

1990634130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35662 (or 35650 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1990634130 is about 44616.5230604089. The cubic root of 1990634130 is about 1257.9512624314.

The spelling of 1990634130 in words is "one billion, nine hundred ninety million, six hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 243 270 345 405 414 486 621 690 810 1035 1215 1242 1863 2070 2430 3105 3726 5589 6210 9315 11178 18630 27945 35617 55890 71234 106851 178085 213702 320553 356170 534255 641106 819191 961659 1068510 1602765 1638382 1923318 2457573 2884977 3205530 4095955 4808295 4915146 5769954 7372719 8191910 8654931 9616590 12287865 14424885 14745438 17309862 22118157 24575730 28849770 36863595 43274655 44236314 66354471 73727190 86549310 110590785 132708942 199063413 221181570 331772355 398126826 663544710 995317065 1990634130