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36243480 = 23357133319
BaseRepresentation
bin1000101001000…
…0100000011000
32112012100201010
42022100200120
533234242410
63332453520
7620031060
oct212204030
975170633
1036243480
1119505299
121017a2a0
13767ca60
144b563a0
1532adc20
hex2290818

36243480 has 128 divisors (see below), whose sum is σ = 133862400. Its totient is φ = 7644672.

The previous prime is 36243479. The next prime is 36243491. The reversal of 36243480 is 8434263.

36243480 = T1041 + T1042 + ... + T1103.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9261 + ... + 12579.

It is an arithmetic number, because the mean of its divisors is an integer number (1045800).

Almost surely, 236243480 is an apocalyptic number.

36243480 is a gapful number since it is divisible by the number (30) 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 36243480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66931200).

36243480 is an abundant number, since it is smaller than the sum of its proper divisors (97618920).

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

36243480 is a wasteful number, since it uses less digits than its factorization.

36243480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 36243480 is about 6020.2558085184. The cubic root of 36243480 is about 330.9354541101.

The spelling of 36243480 in words is "thirty-six million, two hundred forty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3319 3640 5460 6638 9957 10920 13276 16595 19914 23233 26552 33190 39828 43147 46466 49785 66380 69699 79656 86294 92932 99570 116165 129441 132760 139398 172588 185864 199140 215735 232330 258882 278796 302029 345176 348495 398280 431470 464660 517764 557592 604058 647205 696990 862940 906087 929320 1035528 1208116 1294410 1393980 1510145 1725880 1812174 2416232 2588820 2787960 3020290 3624348 4530435 5177640 6040580 7248696 9060870 12081160 18121740 36243480