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55122040 = 23519294161
BaseRepresentation
bin1101001001000…
…1100001111000
310211201111020001
43102101201320
5103102401130
65245242344
71236346441
oct322214170
9124644201
1055122040
112912a006
12165633b4
13b55c8bc
14746c2c8
154c8c6ca
hex3491878

55122040 has 128 divisors (see below), whose sum is σ = 140616000. Its totient is φ = 19353600.

The previous prime is 55122037. The next prime is 55122077. The reversal of 55122040 is 4022155.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 55121999 and 55122017.

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 31 ways as a sum of consecutive naturals, for example, 903610 + ... + 903670.

Almost surely, 255122040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308000).

55122040 is an abundant number, since it is smaller than the sum of its proper divisors (85493960).

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

55122040 is a wasteful number, since it uses less digits than its factorization.

55122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 55122040 is about 7424.4218630140. The cubic root of 55122040 is about 380.5763184801.

Adding to 55122040 its reverse (4022155), we get a palindrome (59144195).

The spelling of 55122040 in words is "fifty-five million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 41 58 61 76 82 95 116 122 145 152 164 190 205 232 244 290 305 328 380 410 488 551 580 610 760 779 820 1102 1159 1160 1189 1220 1558 1640 1769 2204 2318 2378 2440 2501 2755 3116 3538 3895 4408 4636 4756 5002 5510 5795 5945 6232 7076 7790 8845 9272 9512 10004 11020 11590 11890 12505 14152 15580 17690 20008 22040 22591 23180 23780 25010 31160 33611 35380 45182 46360 47519 47560 50020 67222 70760 72529 90364 95038 100040 112955 134444 145058 168055 180728 190076 225910 237595 268888 290116 336110 362645 380152 451820 475190 580232 672220 725290 903640 950380 1344440 1378051 1450580 1900760 2756102 2901160 5512204 6890255 11024408 13780510 27561020 55122040