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55943680 = 29513412
BaseRepresentation
bin1101010101101…
…0001000000000
310220021020022011
43111122020000
5103310144210
65315022304
71246341052
oct325321000
9126236264
1055943680
1129640351
121689a994
13b789890
1476038d2
154da0d8a
hex355a200

55943680 has 120 divisors (see below), whose sum is σ = 148060836. Its totient is φ = 20152320.

The previous prime is 55943663. The next prime is 55943707. The reversal of 55943680 is 8634955.

It can be written as a sum of positive squares in 6 ways, for example, as 112896 + 55830784 = 336^2 + 7472^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1364460 + ... + 1364500.

Almost surely, 255943680 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 55943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74030418).

55943680 is an abundant number, since it is smaller than the sum of its proper divisors (92117156).

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

55943680 is an equidigital number, since it uses as much as digits as its factorization.

55943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 55943680 is about 7479.5507886503. The cubic root of 55943680 is about 382.4579360524.

The spelling of 55943680 in words is "fifty-five million, nine hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 64 65 80 82 104 128 130 160 164 205 208 256 260 320 328 410 416 512 520 533 640 656 820 832 1040 1066 1280 1312 1640 1664 1681 2080 2132 2560 2624 2665 3280 3328 3362 4160 4264 5248 5330 6560 6656 6724 8320 8405 8528 10496 10660 13120 13448 16640 16810 17056 20992 21320 21853 26240 26896 33280 33620 34112 42640 43706 52480 53792 67240 68224 85280 87412 104960 107584 109265 134480 136448 170560 174824 215168 218530 268960 272896 341120 349648 430336 437060 537920 682240 699296 860672 874120 1075840 1364480 1398592 1748240 2151680 2797184 3496480 4303360 5594368 6992960 11188736 13985920 27971840 55943680