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73267420 = 225192383101
BaseRepresentation
bin1000101110111…
…11100011011100
312002212101000011
410113133203130
5122224024140
611134213004
71546522432
oct427374334
9162771004
1073267420
11383a2996
1220654164
1312243b05
149a32d52
156673cea
hex45df8dc

73267420 has 96 divisors (see below), whose sum is σ = 172730880. Its totient is φ = 25977600.

The previous prime is 73267391. The next prime is 73267423. The reversal of 73267420 is 2476237.

It is a happy number.

It is a super-3 number, since 3×732674203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73267423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725370 + ... + 725470.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 273267420 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 73267420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440).

73267420 is an abundant number, since it is smaller than the sum of its proper divisors (99463460).

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

73267420 is a wasteful number, since it uses less digits than its factorization.

73267420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 73267420 is about 8559.6390110798. The cubic root of 73267420 is about 418.4436351241.

The spelling of 73267420 in words is "seventy-three million, two hundred sixty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 83 92 95 101 115 166 190 202 230 332 380 404 415 437 460 505 830 874 1010 1577 1660 1748 1909 1919 2020 2185 2323 3154 3818 3838 4370 4646 6308 7636 7676 7885 8383 8740 9292 9545 9595 11615 15770 16766 19090 19190 23230 31540 33532 36271 38180 38380 41915 44137 46460 72542 83830 88274 145084 159277 167660 176548 181355 192809 220685 318554 362710 385618 441370 637108 725420 771236 796385 882740 964045 1592770 1928090 3185540 3663371 3856180 7326742 14653484 18316855 36633710 73267420