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136350420 = 223541431289
BaseRepresentation
bin10000010000010…
…00101011010100
3100111120022121120
420020020223110
5234401203140
621310243540
73243650043
oct1010105324
9314508546
10136350420
116aa6a0a8
12397b65b0
132233012b
141417455a
15be851d0
hex8208ad4

136350420 has 96 divisors (see below), whose sum is σ = 400498560. Its totient is φ = 34621440.

The previous prime is 136350413. The next prime is 136350443. The reversal of 136350420 is 24053631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105136 + ... + 106424.

It is an arithmetic number, because the mean of its divisors is an integer number (4171860).

Almost surely, 2136350420 is an apocalyptic number.

136350420 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 136350420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200249280).

136350420 is an abundant number, since it is smaller than the sum of its proper divisors (264148140).

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

136350420 is a wasteful number, since it uses less digits than its factorization.

136350420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 136350420 is about 11676.9182578281. The cubic root of 136350420 is about 514.6976199612.

The spelling of 136350420 in words is "one hundred thirty-six million, three hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 43 60 82 86 123 129 164 172 205 215 246 258 410 430 492 516 615 645 820 860 1230 1289 1290 1763 2460 2578 2580 3526 3867 5156 5289 6445 7052 7734 8815 10578 12890 15468 17630 19335 21156 25780 26445 35260 38670 52849 52890 55427 77340 105698 105780 110854 158547 166281 211396 221708 264245 277135 317094 332562 528490 554270 634188 665124 792735 831405 1056980 1108540 1585470 1662810 2272507 3170940 3325620 4545014 6817521 9090028 11362535 13635042 22725070 27270084 34087605 45450140 68175210 136350420