Search a number
-
+
99292080 = 2435715827
BaseRepresentation
bin1011110101100…
…01001110110000
320220211120010110
411322301032300
5200404321310
613504101320
72313653166
oct572611660
9226746113
1099292080
1151058678
1229304840
1317756514
14d289236
158ab4d20
hex5eb13b0

99292080 has 80 divisors (see below), whose sum is σ = 312194304. Its totient is φ = 26100480.

The previous prime is 99292069. The next prime is 99292091. The reversal of 99292080 is 8029299.

It is an interprime number because it is at equal distance from previous prime (99292069) and next prime (99292091).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14127 + ... + 19953.

Almost surely, 299292080 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 99292080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156097152).

99292080 is an abundant number, since it is smaller than the sum of its proper divisors (212902224).

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

99292080 is a wasteful number, since it uses less digits than its factorization.

99292080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 99292080 is about 9964.5411334391. The cubic root of 99292080 is about 463.0609973640.

The spelling of 99292080 in words is "ninety-nine million, two hundred ninety-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 5827 8520 11654 17040 17481 23308 29135 34962 46616 58270 69924 87405 93232 116540 139848 174810 233080 279696 349620 413717 466160 699240 827434 1241151 1398480 1654868 2068585 2482302 3309736 4137170 4964604 6205755 6619472 8274340 9929208 12411510 16548680 19858416 24823020 33097360 49646040 99292080