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87740016 = 24371353379
BaseRepresentation
bin1010011101011…
…00111001110000
320010002122200020
411032230321300
5134430140031
612412323440
72113530540
oct516547160
9203078606
1087740016
1145588411
1225473580
1315240390
14b91d320
157a82096
hex53ace70

87740016 has 160 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 22643712.

The previous prime is 87740011. The next prime is 87740017. The reversal of 87740016 is 61004778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87740011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231315 + ... + 231693.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 287740016 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 87740016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

87740016 is an abundant number, since it is smaller than the sum of its proper divisors (197241744).

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

87740016 is a wasteful number, since it uses less digits than its factorization.

87740016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

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

The square root of 87740016 is about 9366.9640759426. The cubic root of 87740016 is about 444.3575563109.

The spelling of 87740016 in words is "eighty-seven million, seven hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 53 56 78 84 91 104 106 112 156 159 168 182 208 212 273 312 318 336 364 371 379 424 546 624 636 689 728 742 758 848 1092 1113 1137 1272 1378 1456 1484 1516 2067 2184 2226 2274 2544 2653 2756 2968 3032 4134 4368 4452 4548 4823 4927 5306 5512 5936 6064 7959 8268 8904 9096 9646 9854 10612 11024 14469 14781 15918 16536 17808 18192 19292 19708 20087 21224 28938 29562 31836 33072 34489 38584 39416 40174 42448 57876 59124 60261 63672 68978 77168 78832 80348 103467 115752 118248 120522 127344 137956 140609 160696 206934 231504 236496 241044 261131 275912 281218 321392 413868 421827 482088 522262 551824 562436 783393 827736 843654 964176 1044524 1124872 1566786 1655472 1687308 1827917 2089048 2249744 3133572 3374616 3655834 4178096 5483751 6267144 6749232 7311668 10967502 12534288 14623336 21935004 29246672 43870008 87740016