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73987290 = 233513107197
BaseRepresentation
bin1000110100011…
…11010011011010
312011012221111000
410122033103122
5122420043130
611201445430
71555611246
oct432172332
9164187430
1073987290
1138844823
1220940876
1312436680
149b7d426
156767260
hex468f4da

73987290 has 128 divisors (see below), whose sum is σ = 215550720. Its totient is φ = 17950464.

The previous prime is 73987289. The next prime is 73987301. The reversal of 73987290 is 9278937.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375472 + ... + 375668.

It is an arithmetic number, because the mean of its divisors is an integer number (1683990).

Almost surely, 273987290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73987290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107775360).

73987290 is an abundant number, since it is smaller than the sum of its proper divisors (141563430).

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

73987290 is a wasteful number, since it uses less digits than its factorization.

73987290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 73987290 is about 8601.5864815742. The cubic root of 73987290 is about 419.8096075828.

The spelling of 73987290 in words is "seventy-three million, nine hundred eighty-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 107 117 130 135 195 197 214 234 270 321 351 390 394 535 585 591 642 702 963 985 1070 1170 1182 1391 1605 1755 1773 1926 1970 2561 2782 2889 2955 3210 3510 3546 4173 4815 5122 5319 5778 5910 6955 7683 8346 8865 9630 10638 12519 12805 13910 14445 15366 17730 20865 21079 23049 25038 25610 26595 28890 37557 38415 41730 42158 46098 53190 62595 63237 69147 75114 76830 105395 115245 125190 126474 138294 187785 189711 210790 230490 274027 316185 345735 375570 379422 548054 569133 632370 691470 822081 948555 1138266 1370135 1644162 1897110 2466243 2740270 2845665 4110405 4932486 5691330 7398729 8220810 12331215 14797458 24662430 36993645 73987290