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200136960 = 283355791
BaseRepresentation
bin10111110110111…
…01100100000000
3111221121000022000
423323131210000
5402213340320
631505344000
74650064452
oct1373354400
9457530260
10200136960
11a2a76951
1257038000
133260474a
141c81a2d2
1512884c90
hexbedd900

200136960 has 144 divisors (see below), whose sum is σ = 710330880. Its totient is φ = 53360640.

The previous prime is 200136889. The next prime is 200136967. The reversal of 200136960 is 69631002.

It is a happy number.

200136960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200136967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31665 + ... + 37455.

Almost surely, 2200136960 is an apocalyptic number.

200136960 is a gapful number since it is divisible by the number (20) 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 200136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355165440).

200136960 is an abundant number, since it is smaller than the sum of its proper divisors (510193920).

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

200136960 is an equidigital number, since it uses as much as digits as its factorization.

200136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5821 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 200136960 is about 14146.9770622561. The cubic root of 200136960 is about 584.9370083391.

Adding to 200136960 its reverse (69631002), we get a palindrome (269767962).

The spelling of 200136960 in words is "two hundred million, one hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 5791 6912 8640 11520 11582 17280 17373 23164 28955 34560 34746 46328 52119 57910 69492 86865 92656 104238 115820 138984 156357 173730 185312 208476 231640 260595 277968 312714 347460 370624 416952 463280 521190 555936 625428 694920 741248 781785 833904 926560 1042380 1111872 1250856 1389840 1482496 1563570 1667808 1853120 2084760 2223744 2501712 2779680 3127140 3335616 3706240 4169520 4447488 5003424 5559360 6254280 6671232 7412480 8339040 10006848 11118720 12508560 13342464 16678080 20013696 22237440 25017120 33356160 40027392 50034240 66712320 100068480 200136960