Search a number
-
+
99986250 = 2354713293
BaseRepresentation
bin1011111010110…
…10101101001010
320222010211100110
411331122231022
5201044030000
613531015150
72322604050
oct575325512
9228124313
1099986250
1151492171
122959a4b6
131793a480
14d3ca1d0
158ba0850
hex5f5ab4a

99986250 has 160 divisors (see below), whose sum is σ = 308601216. Its totient is φ = 21024000.

The previous prime is 99986233. The next prime is 99986251. The reversal of 99986250 is 5268999.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 99986250.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99986251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 341104 + ... + 341396.

Almost surely, 299986250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99986250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154300608).

99986250 is an abundant number, since it is smaller than the sum of its proper divisors (208614966).

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

99986250 is a wasteful number, since it uses less digits than its factorization.

99986250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 99986250 is about 9999.3124763656. The cubic root of 99986250 is about 464.1376084373.

The spelling of 99986250 in words is "ninety-nine million, nine hundred eighty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 125 130 150 175 182 195 210 250 273 293 325 350 375 390 455 525 546 586 625 650 750 875 879 910 975 1050 1250 1365 1465 1625 1750 1758 1875 1950 2051 2275 2625 2730 2930 3250 3750 3809 4102 4375 4395 4550 4875 5250 6153 6825 7325 7618 8125 8750 8790 9750 10255 11375 11427 12306 13125 13650 14650 16250 19045 20510 21975 22750 22854 24375 26250 26663 30765 34125 36625 38090 43950 48750 51275 53326 56875 57135 61530 68250 73250 79989 95225 102550 109875 113750 114270 133315 153825 159978 170625 183125 190450 219750 256375 266630 285675 307650 341250 366250 399945 476125 512750 549375 571350 666575 769125 799890 952250 1098750 1281875 1333150 1428375 1538250 1999725 2380625 2563750 2856750 3332875 3845625 3999450 4761250 6665750 7141875 7691250 9998625 14283750 16664375 19997250 33328750 49993125 99986250