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54133140 = 22352953587
BaseRepresentation
bin1100111010000…
…0000110010100
310202212020201010
43032200012110
5102324230030
65212132220
71225060365
oct316400624
9122766633
1054133140
1128614036
1216167070
13b2a4759
147291b6c
154b446b0
hex33a0194

54133140 has 96 divisors (see below), whose sum is σ = 160030080. Its totient is φ = 13651456.

The previous prime is 54133127. The next prime is 54133141. The reversal of 54133140 is 4133145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54133141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91927 + ... + 92513.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 254133140 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 54133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015040).

54133140 is an abundant number, since it is smaller than the sum of its proper divisors (105896940).

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

54133140 is a wasteful number, since it uses less digits than its factorization.

54133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 54133140 is about 7357.5226809029. The cubic root of 54133140 is about 378.2867005515.

Adding to 54133140 its reverse (4133145), we get a palindrome (58266285).

The spelling of 54133140 in words is "fifty-four million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 53 58 60 87 106 116 145 159 174 212 265 290 318 348 435 530 580 587 636 795 870 1060 1174 1537 1590 1740 1761 2348 2935 3074 3180 3522 4611 5870 6148 7044 7685 8805 9222 11740 15370 17023 17610 18444 23055 30740 31111 34046 35220 46110 51069 62222 68092 85115 92220 93333 102138 124444 155555 170230 186666 204276 255345 311110 340460 373332 466665 510690 622220 902219 933330 1021380 1804438 1866660 2706657 3608876 4511095 5413314 9022190 10826628 13533285 18044380 27066570 54133140