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86669640 = 233251912671
BaseRepresentation
bin1010010101001…
…11100101001000
320001002021101200
411022213211020
5134141412030
612333344200
72101452111
oct512474510
9201067350
1086669640
1144a17202
1225038060
1314c57115
14b721208
15791ed60
hex52a7948

86669640 has 96 divisors (see below), whose sum is σ = 296524800. Its totient is φ = 21893760.

The previous prime is 86669633. The next prime is 86669641. The reversal of 86669640 is 4696668.

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

It is not an unprimeable number, because it can be changed into a prime (86669641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505 + ... + 13175.

It is an arithmetic number, because the mean of its divisors is an integer number (3088800).

Almost surely, 286669640 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 86669640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148262400).

86669640 is an abundant number, since it is smaller than the sum of its proper divisors (209855160).

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

86669640 is a wasteful number, since it uses less digits than its factorization.

86669640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12707 (or 12700 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 86669640 is about 9309.6530547599. The cubic root of 86669640 is about 442.5431921834.

The spelling of 86669640 in words is "eighty-six million, six hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 12671 25342 38013 50684 63355 76026 101368 114039 126710 152052 190065 228078 240749 253420 304104 380130 456156 481498 506840 570195 722247 760260 912312 962996 1140390 1203745 1444494 1520520 1925992 2166741 2280780 2407490 2888988 3611235 4333482 4561560 4814980 5777976 7222470 8666964 9629960 10833705 14444940 17333928 21667410 28889880 43334820 86669640