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136963400 = 23527192271
BaseRepresentation
bin10000010100111…
…10010101001000
3100112201110110112
420022132111020
5240030312100
621331333452
73252112130
oct1012362510
9315643415
10136963400
11703486a2
1239a51288
13224b6142
1414293ac0
15c056b35
hex829e548

136963400 has 144 divisors (see below), whose sum is σ = 385511040. Its totient is φ = 44323200.

The previous prime is 136963397. The next prime is 136963417. The reversal of 136963400 is 4369631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505265 + ... + 505535.

It is an arithmetic number, because the mean of its divisors is an integer number (2677160).

Almost surely, 2136963400 is an apocalyptic number.

136963400 is a gapful number since it is divisible by the number (10) 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 136963400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192755520).

136963400 is an abundant number, since it is smaller than the sum of its proper divisors (248547640).

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

136963400 is a wasteful number, since it uses less digits than its factorization.

136963400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 136963400 is about 11703.1363317702. The cubic root of 136963400 is about 515.4677624018.

The spelling of 136963400 in words is "one hundred thirty-six million, nine hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 271 280 350 361 380 475 532 542 665 700 722 760 950 1064 1084 1330 1355 1400 1444 1805 1897 1900 2168 2527 2660 2710 2888 3325 3610 3794 3800 5054 5149 5320 5420 6650 6775 7220 7588 9025 9485 10108 10298 10840 12635 13300 13550 14440 15176 18050 18970 20216 20596 25270 25745 26600 27100 36043 36100 37940 41192 47425 50540 51490 54200 63175 72086 72200 75880 94850 97831 101080 102980 126350 128725 144172 180215 189700 195662 205960 252700 257450 288344 360430 379400 391324 489155 505400 514900 684817 720860 782648 901075 978310 1029800 1369634 1441720 1802150 1956620 2445775 2739268 3424085 3604300 3913240 4891550 5478536 6848170 7208600 9783100 13696340 17120425 19566200 27392680 34240850 68481700 136963400