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2054333340 = 223454726981
BaseRepresentation
bin111101001110010…
…1010001110011100
312022011120221120000
41322130222032130
513201402131330
6535503254300
7101623355013
oct17234521634
95264527500
102054333340
11964688054
12493baa390
132697bbc77
14156b9da7a
15c0546560
hex7a72a39c

2054333340 has 120 divisors (see below), whose sum is σ = 6581881152. Its totient is φ = 536146560.

The previous prime is 2054333287. The next prime is 2054333377. The reversal of 2054333340 is 433334502.

It is a happy number.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 62650 + ... + 89630.

Almost surely, 22054333340 is an apocalyptic number.

2054333340 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 2054333340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290940576).

2054333340 is an abundant number, since it is smaller than the sum of its proper divisors (4527547812).

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

2054333340 is a wasteful number, since it uses less digits than its factorization.

2054333340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27049 (or 27038 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 2054333340 is about 45324.7541637018. The cubic root of 2054333340 is about 1271.2285505557.

Adding to 2054333340 its reverse (433334502), we get a palindrome (2487667842).

The spelling of 2054333340 in words is "two billion, fifty-four million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 270 282 324 405 423 470 540 564 705 810 846 940 1269 1410 1620 1692 2115 2538 2820 3807 4230 5076 6345 7614 8460 12690 15228 19035 25380 26981 38070 53962 76140 80943 107924 134905 161886 242829 269810 323772 404715 485658 539620 728487 809430 971316 1214145 1268107 1456974 1618860 2185461 2428290 2536214 2913948 3642435 3804321 4370922 4856580 5072428 6340535 7284870 7608642 8741844 10927305 11412963 12681070 14569740 15217284 19021605 21854610 22825926 25362140 34238889 38043210 43709220 45651852 57064815 68477778 76086420 102716667 114129630 136955556 171194445 205433334 228259260 342388890 410866668 513583335 684777780 1027166670 2054333340