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266430996 = 22321319383
BaseRepresentation
bin11111110000101…
…10101000010100
3200120100002121200
433320112220110
51021201242441
642234312500
76413424516
oct1770265024
9616302550
10266430996
11127436607
1275288730
13432764a0
1427555bb6
15185cc7b6
hexfe16a14

266430996 has 144 divisors (see below), whose sum is σ = 774795840. Its totient is φ = 76728384.

The previous prime is 266430991. The next prime is 266431001. The reversal of 266430996 is 699034662.

266430996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (266430991) and next prime (266431001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266430991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3209971 + ... + 3210053.

Almost surely, 2266430996 is an apocalyptic number.

266430996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266430996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387397920).

266430996 is an abundant number, since it is smaller than the sum of its proper divisors (508364844).

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

266430996 is a wasteful number, since it uses less digits than its factorization.

266430996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 266430996 is about 16322.7141125488. The cubic root of 266430996 is about 643.4699192456.

The spelling of 266430996 in words is "two hundred sixty-six million, four hundred thirty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 83 114 117 156 166 171 228 234 247 249 332 342 361 468 494 498 684 722 741 747 988 996 1079 1083 1444 1482 1494 1577 2158 2166 2223 2964 2988 3154 3237 3249 4316 4332 4446 4693 4731 6308 6474 6498 6859 8892 9386 9462 9711 12948 12996 13718 14079 14193 18772 18924 19422 20501 20577 27436 28158 28386 29963 38844 41002 41154 42237 56316 56772 59926 61503 61731 82004 82308 84474 89167 89889 119852 123006 123462 168948 178334 179778 184509 246012 246924 267501 269667 356668 359556 369018 389519 535002 539334 569297 738036 779038 802503 1070004 1078668 1138594 1168557 1558076 1605006 1707891 2277188 2337114 3210012 3415782 3505671 4674228 5123673 6831564 7011342 7400861 10247346 14022684 14801722 20494692 22202583 29603444 44405166 66607749 88810332 133215498 266430996