Search a number
-
+
99999780 = 22351727379
BaseRepresentation
bin1011111010111…
…10000000100100
320222011111220120
411331132000210
5201044443110
613531201540
72322661356
oct575360044
9228144816
1099999780
11514a1351
12295a62b0
131794368a
14d3d10d6
158ba4870
hex5f5e024

99999780 has 144 divisors (see below), whose sum is σ = 305329920. Its totient is φ = 24440832.

The previous prime is 99999773. The next prime is 99999787. The reversal of 99999780 is 8799999.

It is an interprime number because it is at equal distance from previous prime (99999773) and next prime (99999787).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (99999787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1265781 + ... + 1265859.

Almost surely, 299999780 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 99999780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152664960).

99999780 is an abundant number, since it is smaller than the sum of its proper divisors (205330140).

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

99999780 is a wasteful number, since it uses less digits than its factorization.

99999780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 60.

The square root of 99999780 is about 9999.9889999939. The cubic root of 99999780 is about 464.1585429778.

The spelling of 99999780 in words is "ninety-nine million, nine hundred ninety-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 73 79 85 102 146 158 170 204 219 237 255 289 292 316 340 365 395 438 474 510 578 730 790 867 876 948 1020 1095 1156 1185 1241 1343 1445 1460 1580 1734 2190 2370 2482 2686 2890 3468 3723 4029 4335 4380 4740 4964 5372 5767 5780 6205 6715 7446 8058 8670 11534 12410 13430 14892 16116 17301 17340 18615 20145 21097 22831 23068 24820 26860 28835 34602 37230 40290 42194 45662 57670 63291 68493 69204 74460 80580 84388 86505 91324 98039 105485 114155 115340 126582 136986 173010 196078 210970 228310 253164 273972 294117 316455 342465 346020 392156 421940 456620 490195 588234 632910 684930 980390 1176468 1265820 1369860 1470585 1666663 1960780 2941170 3333326 4999989 5882340 6666652 8333315 9999978 16666630 19999956 24999945 33333260 49999890 99999780