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73087080 = 233511173257
BaseRepresentation
bin1000101101100…
…11100001101000
312002112012121220
410112303201220
5122202241310
611130302040
71545141603
oct426634150
9162465556
1073087080
113828a450
1220587920
13121ac9c1
1499c733a
15663a670
hex45b3868

73087080 has 128 divisors (see below), whose sum is σ = 253342080. Its totient is φ = 16670720.

The previous prime is 73087043. The next prime is 73087093. The reversal of 73087080 is 8078037.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 20812 + ... + 24068.

It is an arithmetic number, because the mean of its divisors is an integer number (1979235).

Almost surely, 273087080 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 73087080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126671040).

73087080 is an abundant number, since it is smaller than the sum of its proper divisors (180255000).

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

73087080 is a wasteful number, since it uses less digits than its factorization.

73087080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 73087080 is about 8549.0981980557. The cubic root of 73087080 is about 418.1000348173.

The spelling of 73087080 in words is "seventy-three million, eighty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3257 3740 4488 5610 6514 7480 9771 11220 13028 16285 19542 22440 26056 32570 35827 39084 48855 55369 65140 71654 78168 97710 107481 110738 130280 143308 166107 179135 195420 214962 221476 276845 286616 332214 358270 390840 429924 442952 537405 553690 609059 664428 716540 830535 859848 1074810 1107380 1218118 1328856 1433080 1661070 1827177 2149620 2214760 2436236 3045295 3322140 3654354 4299240 4872472 6090590 6644280 7308708 9135885 12181180 14617416 18271770 24362360 36543540 73087080