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55714960 = 2457261233
BaseRepresentation
bin1101010010001…
…0010010010000
310212211121120001
43110202102100
5103230334320
65310055344
71244366200
oct324422220
9125747501
1055714960
11294a4524
12167aa554
13b709742
147584400
154d5820a
hex3522490

55714960 has 120 divisors (see below), whose sum is σ = 153813816. Its totient is φ = 18708480.

The previous prime is 55714931. The next prime is 55714961. The reversal of 55714960 is 6941755.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 54641664 = 1036^2 + 7392^2 .

It is not an unprimeable number, because it can be changed into a prime (55714961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239004 + ... + 239236.

Almost surely, 255714960 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 55714960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76906908).

55714960 is an abundant number, since it is smaller than the sum of its proper divisors (98098856).

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

55714960 is a wasteful number, since it uses less digits than its factorization.

55714960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 55714960 is about 7464.2454407663. The cubic root of 55714960 is about 381.9360107723.

The spelling of 55714960 in words is "fifty-five million, seven hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 61 70 80 98 112 122 140 196 233 244 245 280 305 392 427 466 488 490 560 610 784 854 932 976 980 1165 1220 1631 1708 1864 1960 2135 2330 2440 2989 3262 3416 3728 3920 4270 4660 4880 5978 6524 6832 8155 8540 9320 11417 11956 13048 14213 14945 16310 17080 18640 22834 23912 26096 28426 29890 32620 34160 45668 47824 56852 57085 59780 65240 71065 91336 99491 113704 114170 119560 130480 142130 182672 198982 227408 228340 239120 284260 397964 456680 497455 568520 696437 795928 913360 994910 1137040 1392874 1591856 1989820 2785748 3482185 3979640 5571496 6964370 7959280 11142992 13928740 27857480 55714960