Search a number
-
+
73982480 = 245111329223
BaseRepresentation
bin1000110100011…
…10001000010000
312011012200212212
410122032020100
5122414414410
611201411252
71555561235
oct432161020
9164180785
1073982480
1138841150
1220939b28
1312434420
149b7b78c
156765b05
hex468e210

73982480 has 160 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 23869440.

The previous prime is 73982479. The next prime is 73982527. The reversal of 73982480 is 8428937.

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, 331649 + ... + 331871.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 273982480 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 73982480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

73982480 is an abundant number, since it is smaller than the sum of its proper divisors (136004080).

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

73982480 is a wasteful number, since it uses less digits than its factorization.

73982480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 73982480 is about 8601.3068774460. The cubic root of 73982480 is about 419.8005099483.

The spelling of 73982480 in words is "seventy-three million, nine hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 29 40 44 52 55 58 65 80 88 104 110 116 130 143 145 176 208 220 223 232 260 286 290 319 377 440 446 464 520 572 580 638 715 754 880 892 1040 1115 1144 1160 1276 1430 1508 1595 1784 1885 2230 2288 2320 2453 2552 2860 2899 3016 3190 3568 3770 4147 4460 4906 5104 5720 5798 6032 6380 6467 7540 8294 8920 9812 11440 11596 12265 12760 12934 14495 15080 16588 17840 19624 20735 23192 24530 25520 25868 28990 30160 31889 32335 33176 39248 41470 46384 49060 51736 57980 63778 64670 66352 71137 82940 84071 98120 103472 115960 127556 129340 142274 159445 165880 168142 196240 231920 255112 258680 284548 318890 331760 336284 355685 420355 510224 517360 569096 637780 672568 711370 840710 924781 1138192 1275560 1345136 1422740 1681420 1849562 2551120 2845480 3362840 3699124 4623905 5690960 6725680 7398248 9247810 14796496 18495620 36991240 73982480