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73113840 = 243553761
BaseRepresentation
bin1000101101110…
…10000011110000
312002120120100000
410112322003300
5122204120330
611131030000
71545312612
oct426720360
9162516300
1073113840
11382a8568
122059b300
13121bbc37
1499d2db2
156643560
hex45ba0f0

73113840 has 120 divisors (see below), whose sum is σ = 254702448. Its totient is φ = 19491840.

The previous prime is 73113839. The next prime is 73113869. The reversal of 73113840 is 4831137.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17560 + ... + 21320.

Almost surely, 273113840 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 73113840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127351224).

73113840 is an abundant number, since it is smaller than the sum of its proper divisors (181588608).

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

73113840 is a wasteful number, since it uses less digits than its factorization.

73113840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 73113840 is about 8550.6631321787. The cubic root of 73113840 is about 418.1510561092.

Adding to 73113840 its reverse (4831137), we get a palindrome (77944977).

The spelling of 73113840 in words is "seventy-three million, one hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3761 3888 4860 6480 7522 9720 11283 15044 18805 19440 22566 30088 33849 37610 45132 56415 60176 67698 75220 90264 101547 112830 135396 150440 169245 180528 203094 225660 270792 300880 304641 338490 406188 451320 507735 541584 609282 676980 812376 902640 913923 1015470 1218564 1353960 1523205 1624752 1827846 2030940 2437128 2707920 3046410 3655692 4061880 4569615 4874256 6092820 7311384 8123760 9139230 12185640 14622768 18278460 24371280 36556920 73113840