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87716070 = 23251327379
BaseRepresentation
bin1010011101001…
…11000011100110
320010001102211100
411032213003212
5134423403240
612412020530
72113400661
oct516470346
9203042740
1087716070
1145571422
1225461746
1315232500
14b9146d8
157a79e30
hex53a70e6

87716070 has 144 divisors (see below), whose sum is σ = 253506240. Its totient is φ = 21026304.

The previous prime is 87716063. The next prime is 87716071. The reversal of 87716070 is 7061778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87716071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1110291 + ... + 1110369.

It is an arithmetic number, because the mean of its divisors is an integer number (1760460).

Almost surely, 287716070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87716070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126753120).

87716070 is an abundant number, since it is smaller than the sum of its proper divisors (165790170).

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

87716070 is a wasteful number, since it uses less digits than its factorization.

87716070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 87716070 is about 9365.6857730761. The cubic root of 87716070 is about 444.3171279534.

It can be divided in two parts, 8771 and 6070, that added together give a palindrome (14841).

The spelling of 87716070 in words is "eighty-seven million, seven hundred sixteen thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 73 78 79 90 117 130 146 158 169 195 219 234 237 338 365 390 395 438 474 507 585 657 711 730 790 845 949 1014 1027 1095 1170 1185 1314 1422 1521 1690 1898 2054 2190 2370 2535 2847 3042 3081 3285 3555 4745 5070 5135 5694 5767 6162 6570 7110 7605 8541 9243 9490 10270 11534 12337 13351 14235 15210 15405 17082 17301 18486 24674 26702 28470 28835 30810 34602 37011 40053 42705 46215 51903 57670 61685 66755 74022 74971 80106 85410 86505 92430 103806 111033 120159 123370 133510 149942 173010 185055 200265 222066 224913 240318 259515 370110 374855 400530 449826 519030 555165 600795 674739 749710 974623 1110330 1124565 1201590 1349478 1949246 2249130 2923869 3373695 4873115 5847738 6747390 8771607 9746230 14619345 17543214 29238690 43858035 87716070