Search a number
-
+
2669121540 = 2232537478527
BaseRepresentation
bin1001111100010111…
…1001000000000100
320220000102102102100
42133011321000010
520431243342130
61120504312100
7123100105311
oct23705710004
96800372370
102669121540
11114a716578
12625a72630
13336c94977
141b46b5d08
151094d5c60
hex9f179004

2669121540 has 144 divisors (see below), whose sum is σ = 8493069312. Its totient is φ = 677714688.

The previous prime is 2669121509. The next prime is 2669121593. The reversal of 2669121540 is 451219662.

2669121540 is a `hidden beast` number, since 2 + 6 + 6 + 91 + 21 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2669121495 and 2669121504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308757 + ... + 317283.

It is an arithmetic number, because the mean of its divisors is an integer number (58979648).

Almost surely, 22669121540 is an apocalyptic number.

2669121540 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 2669121540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246534656).

2669121540 is an abundant number, since it is smaller than the sum of its proper divisors (5823947772).

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

2669121540 is a wasteful number, since it uses less digits than its factorization.

2669121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8621 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2669121540 is about 51663.5416904416. The cubic root of 2669121540 is about 1387.1479467164.

The spelling of 2669121540 in words is "two billion, six hundred sixty-nine million, one hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 47 60 74 90 94 111 141 148 180 185 188 222 235 282 333 370 423 444 470 555 564 666 705 740 846 940 1110 1332 1410 1665 1692 1739 2115 2220 2820 3330 3478 4230 5217 6660 6956 8460 8527 8695 10434 15651 17054 17390 20868 25581 26085 31302 34108 34780 42635 51162 52170 62604 76743 78255 85270 102324 104340 127905 153486 156510 170540 255810 306972 313020 315499 383715 400769 511620 630998 767430 801538 946497 1202307 1261996 1534860 1577495 1603076 1892994 2003845 2404614 2839491 3154990 3606921 3785988 4007690 4732485 4809228 5678982 6011535 6309980 7213842 8015380 9464970 11357964 12023070 14197455 14427684 14828453 18034605 18929940 24046140 28394910 29656906 36069210 44485359 56789820 59313812 72138420 74142265 88970718 133456077 148284530 177941436 222426795 266912154 296569060 444853590 533824308 667280385 889707180 1334560770 2669121540