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136631280 = 243519383
BaseRepresentation
bin10000010010011…
…01001111110000
3100112002120212210
420021031033300
5234434200110
621320252120
73246226632
oct1011151760
9315076783
10136631280
1170141115
1239911040
13223cac16
1414208a52
15bedd520
hex824d3f0

136631280 has 160 divisors (see below), whose sum is σ = 452471040. Its totient is φ = 34101504.

The previous prime is 136631273. The next prime is 136631309. The reversal of 136631280 is 82136631.

136631280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1646119 + ... + 1646201.

It is an arithmetic number, because the mean of its divisors is an integer number (2827944).

Almost surely, 2136631280 is an apocalyptic number.

136631280 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 136631280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226235520).

136631280 is an abundant number, since it is smaller than the sum of its proper divisors (315839760).

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

136631280 is an equidigital number, since it uses as much as digits as its factorization.

136631280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 136631280 is about 11688.9383606896. The cubic root of 136631280 is about 515.0507757773.

The spelling of 136631280 in words is "one hundred thirty-six million, six hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 83 95 114 120 152 166 190 228 240 249 285 304 332 361 380 415 456 498 570 664 722 760 830 912 996 1083 1140 1245 1328 1444 1520 1577 1660 1805 1992 2166 2280 2490 2888 3154 3320 3610 3984 4332 4560 4731 4980 5415 5776 6308 6640 6859 7220 7885 8664 9462 9960 10830 12616 13718 14440 15770 17328 18924 19920 20577 21660 23655 25232 27436 28880 29963 31540 34295 37848 41154 43320 47310 54872 59926 63080 68590 75696 82308 86640 89889 94620 102885 109744 119852 126160 137180 149815 164616 179778 189240 205770 239704 274360 299630 329232 359556 378480 411540 449445 479408 548720 569297 599260 719112 823080 898890 1138594 1198520 1438224 1646160 1707891 1797780 2277188 2397040 2846485 3415782 3595560 4554376 5692970 6831564 7191120 8539455 9108752 11385940 13663128 17078910 22771880 27326256 34157820 45543760 68315640 136631280