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54115380 = 2232511151181
BaseRepresentation
bin1100111001101…
…1110000110100
310202211100100100
43032123300310
5102323143010
65211514100
71224654534
oct316336064
9122740310
1054115380
1128601760
1216158930
13b299647
1472894c4
154b3e2c0
hex339bc34

54115380 has 144 divisors (see below), whose sum is σ = 181254528. Its totient is φ = 12960000.

The previous prime is 54115379. The next prime is 54115393. The reversal of 54115380 is 8351145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298890 + ... + 299070.

It is an arithmetic number, because the mean of its divisors is an integer number (1258712).

Almost surely, 254115380 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 54115380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90627264).

54115380 is an abundant number, since it is smaller than the sum of its proper divisors (127139148).

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

54115380 is a wasteful number, since it uses less digits than its factorization.

54115380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 54115380 is about 7356.3156539126. The cubic root of 54115380 is about 378.2453265943.

The spelling of 54115380 in words is "fifty-four million, one hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 151 165 180 181 198 220 302 330 362 396 453 495 543 604 660 724 755 905 906 990 1086 1359 1510 1629 1661 1810 1812 1980 1991 2172 2265 2715 2718 3020 3258 3322 3620 3982 4530 4983 5430 5436 5973 6516 6644 6795 7964 8145 8305 9060 9955 9966 10860 11946 13590 14949 16290 16610 17919 19910 19932 23892 24915 27180 27331 29865 29898 32580 33220 35838 39820 49830 54662 59730 59796 71676 74745 81993 89595 99660 109324 119460 136655 149490 163986 179190 245979 273310 298980 300641 327972 358380 409965 491958 546620 601282 819930 901923 983916 1202564 1229895 1503205 1639860 1803846 2459790 2705769 3006410 3607692 4509615 4919580 5411538 6012820 9019230 10823076 13528845 18038460 27057690 54115380