Search a number
-
+
87989040 = 24325122207
BaseRepresentation
bin1010011111010…
…01101100110000
320010120022021100
411033221230300
5140011122130
612421524400
72115615546
oct517515460
9203508240
1087989040
1145738517
1225573700
13152c9829
14b985d96
157ad0c60
hex53e9b30

87989040 has 60 divisors (see below), whose sum is σ = 295498944. Its totient is φ = 23463552.

The previous prime is 87989039. The next prime is 87989101. The reversal of 87989040 is 4098978.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 60384 + ... + 61823.

Almost surely, 287989040 is an apocalyptic number.

87989040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87989040 is an abundant number, since it is smaller than the sum of its proper divisors (207509904).

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

87989040 is a wasteful number, since it uses less digits than its factorization.

87989040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122226 (or 122217 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 87989040 is about 9380.2473314940. The cubic root of 87989040 is about 444.7775515731. Note that the first 3 decimals are identical.

The spelling of 87989040 in words is "eighty-seven million, nine hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 122207 244414 366621 488828 611035 733242 977656 1099863 1222070 1466484 1833105 1955312 2199726 2444140 2932968 3666210 4399452 4888280 5499315 5865936 7332420 8798904 9776560 10998630 14664840 17597808 21997260 29329680 43994520 87989040