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73136440 = 23513231349
BaseRepresentation
bin1000101101111…
…11100100111000
312002121201100001
410112333210320
5122210331230
611131322344
71545435526
oct426774470
9162551301
1073136440
1138313543
12205b03b4
13121c9300
1499db316
15664a0ca
hex45bf938

73136440 has 96 divisors (see below), whose sum is σ = 184464000. Its totient is φ = 26058240.

The previous prime is 73136419. The next prime is 73136443. The reversal of 73136440 is 4463137.

It is a super-4 number, since 4×731364404 (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73136399 and 73136408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73136443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209386 + ... + 209734.

It is an arithmetic number, because the mean of its divisors is an integer number (1921500).

Almost surely, 273136440 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 73136440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92232000).

73136440 is an abundant number, since it is smaller than the sum of its proper divisors (111327560).

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

73136440 is a wasteful number, since it uses less digits than its factorization.

73136440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 73136440 is about 8551.9845650001. The cubic root of 73136440 is about 418.1941361440.

Adding to 73136440 its reverse (4463137), we get a palindrome (77599577).

The spelling of 73136440 in words is "seventy-three million, one hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 169 248 260 310 338 349 403 520 620 676 698 806 845 1240 1352 1396 1612 1690 1745 2015 2792 3224 3380 3490 4030 4537 5239 6760 6980 8060 9074 10478 10819 13960 16120 18148 20956 21638 22685 26195 36296 41912 43276 45370 52390 54095 58981 86552 90740 104780 108190 117962 140647 181480 209560 216380 235924 281294 294905 432760 471848 562588 589810 703235 1125176 1179620 1406470 1828411 2359240 2812940 3656822 5625880 7313644 9142055 14627288 18284110 36568220 73136440