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55123068 = 223711132353
BaseRepresentation
bin1101001001000…
…1110001111100
310211201112122010
43102101301330
5103102414233
65245251220
71236352440
oct322216174
9124645563
1055123068
112912a860
1216563b10
13b560200
14746c820
154c8cb63
hex3491c7c

55123068 has 144 divisors (see below), whose sum is σ = 174134016. Its totient is φ = 13178880.

The previous prime is 55123067. The next prime is 55123069. The reversal of 55123068 is 86032155.

55123068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55123067) and next prime (55123069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55123067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155980 + ... + 156332.

It is an arithmetic number, because the mean of its divisors is an integer number (1209264).

Almost surely, 255123068 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 55123068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87067008).

55123068 is an abundant number, since it is smaller than the sum of its proper divisors (119010948).

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

55123068 is a wasteful number, since it uses less digits than its factorization.

55123068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 55123068 is about 7424.4910936710. The cubic root of 55123068 is about 380.5786843215.

The spelling of 55123068 in words is "fifty-five million, one hundred twenty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 169 182 231 273 286 308 338 353 364 429 462 507 546 572 676 706 858 924 1001 1014 1059 1092 1183 1412 1716 1859 2002 2028 2118 2366 2471 3003 3549 3718 3883 4004 4236 4589 4732 4942 5577 6006 7098 7413 7436 7766 9178 9884 11154 11649 12012 13013 13767 14196 14826 15532 18356 22308 23298 26026 27181 27534 29652 32123 39039 46596 50479 52052 54362 55068 59657 64246 78078 81543 96369 100958 108724 119314 128492 151437 156156 163086 178971 192738 201916 238628 302874 326172 353353 357942 385476 417599 605748 656227 706706 715884 835198 1060059 1252797 1312454 1413412 1670396 1968681 2120118 2505594 2624908 3937362 4240236 4593589 5011188 7874724 9187178 13780767 18374356 27561534 55123068