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55203930 = 23451719211
BaseRepresentation
bin1101001010010…
…1100001011010
310211212122120000
43102211201122
5103113011210
65251113430
71240140255
oct322454132
9124778500
1055203930
1129185591
12165a2876
13b58ac62
14749009c
154ca6ac0
hex34a585a

55203930 has 160 divisors (see below), whose sum is σ = 166224960. Its totient is φ = 13063680.

The previous prime is 55203923. The next prime is 55203937. The reversal of 55203930 is 3930255.

It is an interprime number because it is at equal distance from previous prime (55203923) and next prime (55203937).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55203894 and 55203903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55203937) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 261525 + ... + 261735.

It is an arithmetic number, because the mean of its divisors is an integer number (1038906).

Almost surely, 255203930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55203930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83112480).

55203930 is an abundant number, since it is smaller than the sum of its proper divisors (111021030).

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

55203930 is a wasteful number, since it uses less digits than its factorization.

55203930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 55203930 is about 7429.9347238048. The cubic root of 55203930 is about 380.7646882272.

The spelling of 55203930 in words is "fifty-five million, two hundred three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 81 85 90 95 102 114 135 153 162 170 171 190 211 255 270 285 306 323 342 405 422 459 510 513 570 633 646 765 810 855 918 969 1026 1055 1266 1377 1530 1539 1615 1710 1899 1938 2110 2295 2565 2754 2907 3078 3165 3230 3587 3798 4009 4590 4845 5130 5697 5814 6330 6885 7174 7695 8018 8721 9495 9690 10761 11394 12027 13770 14535 15390 17091 17442 17935 18990 20045 21522 24054 26163 28485 29070 32283 34182 35870 36081 40090 43605 52326 53805 56970 60135 64566 68153 72162 85455 87210 96849 107610 108243 120270 130815 136306 161415 170910 180405 193698 204459 216486 261630 290547 322830 324729 340765 360810 408918 484245 541215 581094 613377 649458 681530 968490 1022295 1082430 1226754 1452735 1623645 1840131 2044590 2905470 3066885 3247290 3680262 5520393 6133770 9200655 11040786 18401310 27601965 55203930