Search a number
-
+
67490820 = 223751543
BaseRepresentation
bin1000000010111…
…01010000000100
311200222220000000
410001131100010
5114234201240
610410321300
71446443145
oct401352004
9150886000
1067490820
1135107941
121a729230
1310ca06c7
148d6bacc
155dd2430
hex405d404

67490820 has 96 divisors (see below), whose sum is σ = 212701440. Its totient is φ = 17985888.

The previous prime is 67490803. The next prime is 67490873. The reversal of 67490820 is 2809476.

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 31 ways as a sum of consecutive naturals, for example, 42969 + ... + 44511.

It is an arithmetic number, because the mean of its divisors is an integer number (2215640).

Almost surely, 267490820 is an apocalyptic number.

67490820 is a gapful number since it is divisible by the number (60) 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 67490820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106350720).

67490820 is an abundant number, since it is smaller than the sum of its proper divisors (145210620).

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

67490820 is a wasteful number, since it uses less digits than its factorization.

67490820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 67490820 is about 8215.2796665725. The cubic root of 67490820 is about 407.1441836126.

The spelling of 67490820 in words is "sixty-seven million, four hundred ninety thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1543 1620 2187 2430 2916 3086 3645 4374 4629 4860 6172 7290 7715 8748 9258 10935 13887 14580 15430 18516 21870 23145 27774 30860 41661 43740 46290 55548 69435 83322 92580 124983 138870 166644 208305 249966 277740 374949 416610 499932 624915 749898 833220 1124847 1249830 1499796 1874745 2249694 2499660 3374541 3749490 4499388 5624235 6749082 7498980 11248470 13498164 16872705 22496940 33745410 67490820