Search a number
-
+
1999854540 = 22325411012683
BaseRepresentation
bin111011100110011…
…0101101111001100
312011101002010200200
41313030311233030
513043430321130
6530235453500
7100362324465
oct16714655714
95141063620
101999854540
11936958352
124798b7290
1325b4260a8
1414d85bd6c
15ba884760
hex77335bcc

1999854540 has 144 divisors (see below), whose sum is σ = 6278047776. Its totient is φ = 514944000.

The previous prime is 1999854533. The next prime is 1999854541. The reversal of 1999854540 is 454589991.

1999854540 is a `hidden beast` number, since 1 + 9 + 9 + 98 + 5 + 4 + 540 = 666.

It is a super-2 number, since 2×19998545402 = 7998836362317223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1999854541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744039 + ... + 746721.

It is an arithmetic number, because the mean of its divisors is an integer number (43597554).

Almost surely, 21999854540 is an apocalyptic number.

1999854540 is a gapful number since it is divisible by the number (10) 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 1999854540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139023888).

1999854540 is an abundant number, since it is smaller than the sum of its proper divisors (4278193236).

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

1999854540 is a wasteful number, since it uses less digits than its factorization.

1999854540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 1999854540 is about 44719.7332281846. The cubic root of 1999854540 is about 1259.8905044684.

The spelling of 1999854540 in words is "one billion, nine hundred ninety-nine million, eight hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 101 123 164 180 202 205 246 303 369 404 410 492 505 606 615 738 820 909 1010 1212 1230 1476 1515 1818 1845 2020 2460 2683 3030 3636 3690 4141 4545 5366 6060 7380 8049 8282 9090 10732 12423 13415 16098 16564 18180 20705 24147 24846 26830 32196 37269 40245 41410 48294 49692 53660 62115 74538 80490 82820 96588 110003 120735 124230 149076 160980 186345 220006 241470 248460 270983 330009 372690 440012 482940 541966 550015 660018 745380 812949 990027 1083932 1100030 1320036 1354915 1625898 1650045 1980054 2200060 2438847 2709830 3251796 3300090 3960108 4064745 4877694 4950135 5419660 6600180 8129490 9755388 9900270 11110303 12194235 16258980 19800540 22220606 24388470 33330909 44441212 48776940 55551515 66661818 99992727 111103030 133323636 166654545 199985454 222206060 333309090 399970908 499963635 666618180 999927270 1999854540