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73020640 = 2557115927
BaseRepresentation
bin1000101101000…
…11010011100000
312002101211111011
410112203103200
5122143130030
611125030304
71544444110
oct426432340
9162354434
1073020640
1138244540
1220555394
13121886a4
1499ab040
156625b2a
hex45a34e0

73020640 has 96 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 22755840.

The previous prime is 73020617. The next prime is 73020641. The reversal of 73020640 is 4602037.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73020641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9357 + ... + 15283.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784).

Almost surely, 273020640 is an apocalyptic number.

73020640 is a gapful number since it is divisible by the number (70) 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 73020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

73020640 is an abundant number, since it is smaller than the sum of its proper divisors (142094624).

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

73020640 is a wasteful number, since it uses less digits than its factorization.

73020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 73020640 is about 8545.2115245908. The cubic root of 73020640 is about 417.9733047671.

Adding to 73020640 its reverse (4602037), we get a palindrome (77622677).

The spelling of 73020640 in words is "seventy-three million, twenty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 5927 6160 11854 12320 23708 29635 41489 47416 59270 65197 82978 94832 118540 130394 165956 189664 207445 237080 260788 325985 331912 414890 456379 474160 521576 651970 663824 829780 912758 948320 1043152 1303940 1327648 1659560 1825516 2086304 2281895 2607880 3319120 3651032 4563790 5215760 6638240 7302064 9127580 10431520 14604128 18255160 36510320 73020640