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66260480 = 2951113181
BaseRepresentation
bin1111110011000…
…0111000000000
311121200101021212
43330300320000
5113430313410
610324105252
71433130146
oct374607000
9147611255
1066260480
1134447530
121a235228
131095c6b0
148b2b596
155c3cb05
hex3f30e00

66260480 has 160 divisors (see below), whose sum is σ = 187675488. Its totient is φ = 22118400.

The previous prime is 66260479. The next prime is 66260497. The reversal of 66260480 is 8406266.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

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, 365990 + ... + 366170.

Almost surely, 266260480 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 66260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

66260480 is an abundant number, since it is smaller than the sum of its proper divisors (121415008).

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

66260480 is a wasteful number, since it uses less digits than its factorization.

66260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 66260480 is about 8140.0540538746. The cubic root of 66260480 is about 404.6549517558.

The spelling of 66260480 in words is "sixty-six million, two hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 181 208 220 256 260 286 320 352 362 416 440 512 520 572 640 704 715 724 832 880 905 1040 1144 1280 1408 1430 1448 1664 1760 1810 1991 2080 2288 2353 2560 2816 2860 2896 3328 3520 3620 3982 4160 4576 4706 5632 5720 5792 6656 7040 7240 7964 8320 9152 9412 9955 11440 11584 11765 14080 14480 15928 16640 18304 18824 19910 22880 23168 23530 25883 28160 28960 31856 33280 36608 37648 39820 45760 46336 47060 51766 57920 63712 73216 75296 79640 91520 92672 94120 103532 115840 127424 129415 150592 159280 183040 188240 207064 231680 254848 258830 301184 318560 366080 376480 414128 463360 509696 517660 602368 637120 752960 828256 1019392 1035320 1204736 1274240 1505920 1656512 2070640 2548480 3011840 3313024 4141280 5096960 6023680 6626048 8282560 13252096 16565120 33130240 66260480