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2072387380 = 2257217196547
BaseRepresentation
bin111101110000110…
…0001111100110100
312100102120012001011
41323201201330310
513221012344010
6541350242004
7102233000500
oct17341417464
95312505034
102072387380
11973899348
1249a056304
1327047072b
1415933d300
15c1e10a8a
hex7b861f34

2072387380 has 144 divisors (see below), whose sum is σ = 5643328320. Its totient is φ = 633443328.

The previous prime is 2072387371. The next prime is 2072387413. The reversal of 2072387380 is 837832702.

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 47 ways as a sum of consecutive naturals, for example, 313267 + ... + 319813.

It is an arithmetic number, because the mean of its divisors is an integer number (39189780).

Almost surely, 22072387380 is an apocalyptic number.

2072387380 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 2072387380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821664160).

2072387380 is an abundant number, since it is smaller than the sum of its proper divisors (3570940940).

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

2072387380 is a wasteful number, since it uses less digits than its factorization.

2072387380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 2072387380 is about 45523.4816331089. The cubic root of 2072387380 is about 1274.9416618188.

The spelling of 2072387380 in words is "two billion, seventy-two million, three hundred eighty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 49 68 70 76 85 95 98 119 133 140 170 190 196 238 245 266 323 340 380 476 490 532 595 646 665 833 931 980 1190 1292 1330 1615 1666 1862 2261 2380 2660 3230 3332 3724 4165 4522 4655 6460 6547 8330 9044 9310 11305 13094 15827 16660 18620 22610 26188 31654 32735 45220 45829 63308 65470 79135 91658 111299 124393 130940 158270 183316 222598 229145 248786 316540 320803 445196 458290 497572 556495 621965 641606 779093 870751 916580 1112990 1243930 1283212 1558186 1604015 1741502 2114681 2225980 2487860 3116372 3208030 3483004 3895465 4229362 4353755 5453651 6095257 6416060 7790930 8458724 8707510 10573405 10907302 12190514 14802767 15581860 17415020 21146810 21814604 24381028 27268255 29605534 30476285 42293620 54536510 59211068 60952570 74013835 103619369 109073020 121905140 148027670 207238738 296055340 414477476 518096845 1036193690 2072387380