Search a number
-
+
99961680 = 243571323199
BaseRepresentation
bin1011111010101…
…00101101010000
320222002120122110
411331110231100
5201042233210
613530305320
72322442320
oct575245520
9228076573
1099961680
1151475765
1229588240
131792c230
14d3c1280
158b98420
hex5f54b50

99961680 has 320 divisors, whose sum is σ = 399974400. Its totient is φ = 20072448.

The previous prime is 99961663. The next prime is 99961699. The reversal of 99961680 is 8616999.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502221 + ... + 502419.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 299961680 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 99961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

99961680 is an abundant number, since it is smaller than the sum of its proper divisors (300012720).

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

99961680 is a wasteful number, since it uses less digits than its factorization.

99961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 99961680 is about 9998.0838164120. The cubic root of 99961680 is about 464.0995872252.

The spelling of 99961680 in words is "ninety-nine million, nine hundred sixty-one thousand, six hundred eighty".