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54160640 = 2851719131
BaseRepresentation
bin1100111010011…
…0110100000000
310202220122102122
43032212310000
5102331120030
65212503412
71225233512
oct316466400
9122818378
1054160640
1128632766
121617ab68
13b2b4121
14729bbb2
154b4c8e5
hex33a6d00

54160640 has 144 divisors (see below), whose sum is σ = 145696320. Its totient is φ = 19169280.

The previous prime is 54160597. The next prime is 54160651. The reversal of 54160640 is 4606145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 413375 + ... + 413505.

It is an arithmetic number, because the mean of its divisors is an integer number (1011780).

Almost surely, 254160640 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 54160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72848160).

54160640 is an abundant number, since it is smaller than the sum of its proper divisors (91535680).

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

54160640 is a wasteful number, since it uses less digits than its factorization.

54160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 54160640 is about 7359.3912791752. The cubic root of 54160640 is about 378.3507471053.

Adding to 54160640 its reverse (4606145), we get a palindrome (58766785).

The spelling of 54160640 in words is "fifty-four million, one hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 131 136 152 160 170 190 256 262 272 304 320 323 340 380 524 544 608 640 646 655 680 760 1048 1088 1216 1280 1292 1310 1360 1520 1615 2096 2176 2227 2432 2489 2584 2620 2720 3040 3230 4192 4352 4454 4864 4978 5168 5240 5440 6080 6460 8384 8908 9956 10336 10480 10880 11135 12160 12445 12920 16768 17816 19912 20672 20960 21760 22270 24320 24890 25840 33536 35632 39824 41344 41920 42313 44540 49780 51680 71264 79648 82688 83840 84626 89080 99560 103360 142528 159296 167680 169252 178160 199120 206720 211565 285056 318592 338504 356320 398240 413440 423130 570112 637184 677008 712640 796480 846260 1354016 1425280 1592960 1692520 2708032 2850560 3185920 3385040 5416064 6770080 10832128 13540160 27080320 54160640