Search a number
-
+
71490780 = 223251761383
BaseRepresentation
bin1000100001011…
…01110011011100
311222112002220200
410100231303130
5121300201110
611032143500
71525442634
oct420556334
9158462820
1071490780
113739a099
121bb37b90
1311a7124a
1496cd6c4
1564226c0
hex442dcdc

71490780 has 144 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 17602560.

The previous prime is 71490779. The next prime is 71490803. The reversal of 71490780 is 8709417.

It is a super-2 number, since 2×714907802 = 10221863250016800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186469 + ... + 186851.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 271490780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71490780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

71490780 is an abundant number, since it is smaller than the sum of its proper divisors (162494244).

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

71490780 is a wasteful number, since it uses less digits than its factorization.

71490780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71490780 is about 8455.2220550379. Note that the first 3 decimals coincide. The cubic root of 71490780 is about 415.0336838194.

The spelling of 71490780 in words is "seventy-one million, four hundred ninety thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 61 68 85 90 102 122 153 170 180 183 204 244 255 305 306 340 366 383 510 549 610 612 732 765 766 915 1020 1037 1098 1149 1220 1530 1532 1830 1915 2074 2196 2298 2745 3060 3111 3447 3660 3830 4148 4596 5185 5490 5745 6222 6511 6894 7660 9333 10370 10980 11490 12444 13022 13788 15555 17235 18666 19533 20740 22980 23363 26044 31110 32555 34470 37332 39066 46665 46726 58599 62220 65110 68940 70089 78132 93330 93452 97665 116815 117198 130220 140178 186660 195330 210267 233630 234396 280356 292995 350445 390660 397171 420534 467260 585990 700890 794342 841068 1051335 1171980 1191513 1401780 1588684 1985855 2102670 2383026 3574539 3971710 4205340 4766052 5957565 7149078 7943420 11915130 14298156 17872695 23830260 35745390 71490780