Search a number
-
+
2700673024 = 21672292
BaseRepresentation
bin1010000011111001…
…0000000000000000
320222012210101220211
42200332100000000
521012333014044
61123552443504
7123632225200
oct24076200000
96865711824
102700673024
111166506685
12634549594
13340690b9a
141b896a400
1510c169634
hexa0f90000

2700673024 has 153 divisors (see below), whose sum is σ = 6507281937. Its totient is φ = 1117519872.

The previous prime is 2700672913. The next prime is 2700673067. The reversal of 2700673024 is 4203760072.

It is a happy number.

The square root of 2700673024 is 51968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1416167424 + 1284505600 = 37632^2 + 35840^2 .

It is a super-2 number, since 2×27006730242 = 14587269565122609152, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 93126642 + ... + 93126670.

Almost surely, 22700673024 is an apocalyptic number.

2700673024 is the 51968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2700673024

2700673024 is an abundant number, since it is smaller than the sum of its proper divisors (3806608913).

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

2700673024 is an frugal number, since it uses more digits than its factorization.

2700673024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The cubic root of 2700673024 is about 1392.5923404970.

The spelling of 2700673024 in words is "two billion, seven hundred million, six hundred seventy-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 256 392 406 448 464 512 784 812 841 896 928 1024 1421 1568 1624 1682 1792 1856 2048 2842 3136 3248 3364 3584 3712 4096 5684 5887 6272 6496 6728 7168 7424 8192 11368 11774 12544 12992 13456 14336 14848 16384 22736 23548 25088 25984 26912 28672 29696 32768 41209 45472 47096 50176 51968 53824 57344 59392 65536 82418 90944 94192 100352 103936 107648 114688 118784 164836 181888 188384 200704 207872 215296 229376 237568 329672 363776 376768 401408 415744 430592 458752 475136 659344 727552 753536 802816 831488 861184 950272 1318688 1455104 1507072 1605632 1662976 1722368 1900544 2637376 2910208 3014144 3211264 3325952 3444736 5274752 5820416 6028288 6651904 6889472 10549504 11640832 12056576 13303808 13778944 21099008 23281664 24113152 27557888 42198016 46563328 48226304 55115776 84396032 93126656 96452608 168792064 192905216 337584128 385810432 675168256 1350336512 2700673024