Search a number
-
+
96149760 = 28357373
BaseRepresentation
bin1011011101100…
…10000100000000
320200220220200020
411232302010000
5144103243020
613312453440
72245155000
oct556620400
9220826606
1096149760
114a301813
122824a280
1316bc6165
14caac000
158693c40
hex5bb2100

96149760 has 288 divisors, whose sum is σ = 363014400. Its totient is φ = 21676032.

The previous prime is 96149759. The next prime is 96149771. The reversal of 96149760 is 6794169.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317084 + ... + 1317156.

Almost surely, 296149760 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 96149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181507200).

96149760 is an abundant number, since it is smaller than the sum of its proper divisors (266864640).

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

96149760 is an equidigital number, since it uses as much as digits as its factorization.

96149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 96149760 is about 9805.5984009136. The cubic root of 96149760 is about 458.1236738787.

It can be divided in two parts, 961 and 49760, that added together give a triangular number (50721 = T318).

The spelling of 96149760 in words is "ninety-six million, one hundred forty-nine thousand, seven hundred sixty".