Search a number
-
+
81473520 = 243517191051
BaseRepresentation
bin1001101101100…
…10111111110000
312200022021122210
410312302333300
5131324123040
612030132120
72006341062
oct466627760
9180267583
1081473520
1141a98297
1223351040
1313b57cab
14ab6b732
157245480
hex4db2ff0

81473520 has 160 divisors (see below), whose sum is σ = 281767680. Its totient is φ = 19353600.

The previous prime is 81473479. The next prime is 81473551. The reversal of 81473520 is 2537418.

It is a super-2 number, since 2×814735202 = 13275868922380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76995 + ... + 78045.

It is an arithmetic number, because the mean of its divisors is an integer number (1761048).

Almost surely, 281473520 is an apocalyptic number.

81473520 is a gapful number since it is divisible by the number (80) 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 81473520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140883840).

81473520 is an abundant number, since it is smaller than the sum of its proper divisors (200294160).

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

81473520 is a wasteful number, since it uses less digits than its factorization.

81473520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 81473520 is about 9026.2683319299. The cubic root of 81473520 is about 433.5163618675.

The spelling of 81473520 in words is "eighty-one million, four hundred seventy-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 34 38 40 48 51 57 60 68 76 80 85 95 102 114 120 136 152 170 190 204 228 240 255 272 285 304 323 340 380 408 456 510 570 646 680 760 816 912 969 1020 1051 1140 1292 1360 1520 1615 1938 2040 2102 2280 2584 3153 3230 3876 4080 4204 4560 4845 5168 5255 6306 6460 7752 8408 9690 10510 12612 12920 15504 15765 16816 17867 19380 19969 21020 25224 25840 31530 35734 38760 39938 42040 50448 53601 59907 63060 71468 77520 79876 84080 89335 99845 107202 119814 126120 142936 159752 178670 199690 214404 239628 252240 268005 285872 299535 319504 339473 357340 399380 428808 479256 536010 599070 678946 714680 798760 857616 958512 1018419 1072020 1198140 1357892 1429360 1597520 1697365 2036838 2144040 2396280 2715784 3394730 4073676 4288080 4792560 5092095 5431568 6789460 8147352 10184190 13578920 16294704 20368380 27157840 40736760 81473520