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422057680 = 24511259739
BaseRepresentation
bin11001001010000…
…001011011010000
31002102011202021221
4121022001123100
51331021321210
6105514054424
713313300602
oct3112013320
91072152257
10422057680
111a7271200
12b941a414
1369595495
14400a7172
15270be1da
hex192816d0

422057680 has 120 divisors (see below), whose sum is σ = 1098367200. Its totient is φ = 150670080.

The previous prime is 422057633. The next prime is 422057683. The reversal of 422057680 is 86750224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422057683) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 570751 + ... + 571489.

It is an arithmetic number, because the mean of its divisors is an integer number (9153060).

Almost surely, 2422057680 is an apocalyptic number.

422057680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549183600).

422057680 is an abundant number, since it is smaller than the sum of its proper divisors (676309520).

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

422057680 is a wasteful number, since it uses less digits than its factorization.

422057680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 422057680 is about 20544.0424454390. The cubic root of 422057680 is about 750.1082391931.

The spelling of 422057680 in words is "four hundred twenty-two million, fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 121 176 220 236 242 295 440 472 484 590 605 649 739 880 944 968 1180 1210 1298 1478 1936 2360 2420 2596 2956 3245 3695 4720 4840 5192 5912 6490 7139 7390 8129 9680 10384 11824 12980 14278 14780 16258 25960 28556 29560 32516 35695 40645 43601 51920 57112 59120 65032 71390 81290 87202 89419 114224 130064 142780 162580 174404 178838 218005 285560 325160 348808 357676 436010 447095 479611 571120 650320 697616 715352 872020 894190 959222 1430704 1744040 1788380 1918444 2398055 3488080 3576760 3836888 4796110 5275721 7153520 7673776 9592220 10551442 19184440 21102884 26378605 38368880 42205768 52757210 84411536 105514420 211028840 422057680