Search a number
-
+
87692480 = 265436373
BaseRepresentation
bin1010011101000…
…01010011000000
320010000020110122
411032201103000
5134422124410
612411315412
72113242131
oct516412300
9203006418
1087692480
1145555727
122544bb68
1315224855
14b909c88
157a72e55
hex53a14c0

87692480 has 56 divisors (see below), whose sum is σ = 213707472. Its totient is φ = 34255872.

The previous prime is 87692461. The next prime is 87692497. The reversal of 87692480 is 8429678.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10574 + ... + 16946.

Almost surely, 287692480 is an apocalyptic number.

87692480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106853736).

87692480 is an abundant number, since it is smaller than the sum of its proper divisors (126014992).

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

87692480 is a wasteful number, since it uses less digits than its factorization.

87692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6433 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 87692480 is about 9364.4263038373. The cubic root of 87692480 is about 444.2772934404.

The spelling of 87692480 in words is "eighty-seven million, six hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3440 6373 6880 12746 13760 25492 31865 50984 63730 101968 127460 203936 254920 274039 407872 509840 548078 1019680 1096156 1370195 2039360 2192312 2740390 4384624 5480780 8769248 10961560 17538496 21923120 43846240 87692480