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2138574690 = 2335710131117
BaseRepresentation
bin111111101111000…
…0000111101100010
312112001002211222000
41333132000331202
513334433342230
6552113024430
7103665404430
oct17736007542
95461084860
102138574690
119a81958aa
124b8255116
132810a5a15
1416404bd50
15c7b36b60
hex7f780f62

2138574690 has 128 divisors (see below), whose sum is σ = 6529835520. Its totient is φ = 487897344.

The previous prime is 2138574689. The next prime is 2138574727. The reversal of 2138574690 is 964758312.

2138574690 is a `hidden beast` number, since 2 + 13 + 8 + 574 + 69 + 0 = 666.

2138574690 is digitally balanced in base 6 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21385746902 = 9147003409417192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

2138574690 is strictly pandigital in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1914012 + ... + 1915128.

It is an arithmetic number, because the mean of its divisors is an integer number (51014340).

It is a 1-persistent number, because it is pandigital, but 2⋅2138574690 = 4277149380 is not.

Almost surely, 22138574690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138574690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264917760).

2138574690 is an abundant number, since it is smaller than the sum of its proper divisors (4391260830).

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

2138574690 is a wasteful number, since it uses less digits than its factorization.

2138574690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2138574690 is about 46244.7260776837. The cubic root of 2138574690 is about 1288.3725827104.

The spelling of 2138574690 in words is "two billion, one hundred thirty-eight million, five hundred seventy-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1013 1117 1890 2026 2234 3039 3351 5065 5585 6078 6702 7091 7819 9117 10053 10130 11170 14182 15195 15638 16755 18234 20106 21273 23457 27351 30159 30390 33510 35455 39095 42546 45585 46914 50265 54702 60318 63819 70371 70910 78190 91170 100530 106365 117285 127638 136755 140742 150795 191457 211113 212730 234570 273510 301590 319095 351855 382914 422226 638190 703710 957285 1055565 1131521 1914570 2111130 2263042 3394563 5657605 6789126 7920647 10183689 11315210 15841294 16972815 20367378 23761941 30551067 33945630 39603235 47523882 50918445 61102134 71285823 79206470 101836890 118809705 142571646 152755335 213857469 237619410 305510670 356429115 427714938 712858230 1069287345 2138574690