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2073526380 = 22325171933511
BaseRepresentation
bin111101110010111…
…1000000001101100
312100111201001110100
41323211320001230
513221310321010
6541430511100
7102245453262
oct17345700154
95314631410
102073526380
119744a7072
1249a505490
1327077bcb3
14159558432
15c20882c0
hex7b97806c

2073526380 has 144 divisors (see below), whose sum is σ = 6696091584. Its totient is φ = 517570560.

The previous prime is 2073526339. The next prime is 2073526393. The reversal of 2073526380 is 836253702.

2073526380 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588825 + ... + 592335.

It is an arithmetic number, because the mean of its divisors is an integer number (46500636).

Almost surely, 22073526380 is an apocalyptic number.

2073526380 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 2073526380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348045792).

2073526380 is an abundant number, since it is smaller than the sum of its proper divisors (4622565204).

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

2073526380 is a wasteful number, since it uses less digits than its factorization.

2073526380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2073526380 is about 45535.9899420228. The cubic root of 2073526380 is about 1275.1751916129.

The spelling of 2073526380 in words is "two billion, seventy-three million, five hundred twenty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 193 204 255 306 340 386 510 579 612 765 772 965 1020 1158 1530 1737 1930 2316 2895 3060 3281 3474 3511 3860 5790 6562 6948 7022 8685 9843 10533 11580 13124 14044 16405 17370 17555 19686 21066 29529 31599 32810 34740 35110 39372 42132 49215 52665 59058 59687 63198 65620 70220 98430 105330 118116 119374 126396 147645 157995 179061 196860 210660 238748 295290 298435 315990 358122 537183 590580 596870 631980 677623 716244 895305 1074366 1193740 1355246 1790610 2032869 2148732 2685915 2710492 3388115 3581220 4065738 5371830 6098607 6776230 8131476 10164345 10743660 11519591 12197214 13552460 20328690 23039182 24394428 30493035 34558773 40657380 46078364 57597955 60986070 69117546 103676319 115195910 121972140 138235092 172793865 207352638 230391820 345587730 414705276 518381595 691175460 1036763190 2073526380