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55121760 = 25325101379
BaseRepresentation
bin1101001001000…
…1011101100000
310211201110211200
43102101131200
5103102344020
65245241200
71236345561
oct322213540
9124643750
1055121760
1129129881
1216563200
13b55c735
14746c168
154c8c590
hex3491760

55121760 has 144 divisors (see below), whose sum is σ = 190466640. Its totient is φ = 14515200.

The previous prime is 55121747. The next prime is 55121767. The reversal of 55121760 is 6712155.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55121767) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 145251 + ... + 145629.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 255121760 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 55121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95233320).

55121760 is an abundant number, since it is smaller than the sum of its proper divisors (135344880).

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

55121760 is a wasteful number, since it uses less digits than its factorization.

55121760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 55121760 is about 7424.4030063029. The cubic root of 55121760 is about 380.5756740824.

The spelling of 55121760 in words is "fifty-five million, one hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 101 120 144 160 180 202 240 288 303 360 379 404 480 505 606 720 758 808 909 1010 1137 1212 1440 1515 1516 1616 1818 1895 2020 2274 2424 3030 3032 3232 3411 3636 3790 4040 4545 4548 4848 5685 6060 6064 6822 7272 7580 8080 9090 9096 9696 11370 12120 12128 13644 14544 15160 16160 17055 18180 18192 22740 24240 27288 29088 30320 34110 36360 36384 38279 45480 48480 54576 60640 68220 72720 76558 90960 109152 114837 136440 145440 153116 181920 191395 229674 272880 306232 344511 382790 459348 545760 574185 612464 689022 765580 918696 1148370 1224928 1378044 1531160 1722555 1837392 2296740 2756088 3062320 3445110 3674784 4593480 5512176 6124640 6890220 9186960 11024352 13780440 18373920 27560880 55121760