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55131780 = 223511103811
BaseRepresentation
bin1101001001001…
…1111010000100
310211201222120210
43102103322010
5103103204110
65245355420
71236420024
oct322237204
9124658523
1055131780
1129136360
1216568b70
13b564172
147471a84
154c90520
hex3493e84

55131780 has 96 divisors (see below), whose sum is σ = 170247168. Its totient is φ = 13219200.

The previous prime is 55131779. The next prime is 55131823. The reversal of 55131780 is 8713155.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67575 + ... + 68385.

It is an arithmetic number, because the mean of its divisors is an integer number (1773408).

Almost surely, 255131780 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 55131780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85123584).

55131780 is an abundant number, since it is smaller than the sum of its proper divisors (115115388).

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

55131780 is a wasteful number, since it uses less digits than its factorization.

55131780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 55131780 is about 7425.0777773704. The cubic root of 55131780 is about 380.5987329567.

The spelling of 55131780 in words is "fifty-five million, one hundred thirty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 618 660 811 1030 1133 1236 1545 1622 2060 2266 2433 3090 3244 3399 4055 4532 4866 5665 6180 6798 8110 8921 9732 11330 12165 13596 16220 16995 17842 22660 24330 26763 33990 35684 44605 48660 53526 67980 83533 89210 107052 133815 167066 178420 250599 267630 334132 417665 501198 535260 835330 918863 1002396 1252995 1670660 1837726 2505990 2756589 3675452 4594315 5011980 5513178 9188630 11026356 13782945 18377260 27565890 55131780