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490020160 = 2657283773
BaseRepresentation
bin11101001101010…
…001110101000000
31021011001121021211
4131031101311000
52000421121120
6120342455504
715100050130
oct3515216500
91234047254
10490020160
11231670443
12118134594
137a69c776
1449118ac0
152d04625a
hex1d351d40

490020160 has 112 divisors (see below), whose sum is σ = 1339998336. Its totient is φ = 167196672.

The previous prime is 490020109. The next prime is 490020161. The reversal of 490020160 is 61020094.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490020161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633534 + ... + 634306.

Almost surely, 2490020160 is an apocalyptic number.

490020160 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 490020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669999168).

490020160 is an abundant number, since it is smaller than the sum of its proper divisors (849978176).

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

490020160 is a wasteful number, since it uses less digits than its factorization.

490020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 490020160 is about 22136.3989844780. The cubic root of 490020160 is about 788.3843281419.

The spelling of 490020160 in words is "four hundred ninety million, twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 283 320 448 560 566 773 1120 1132 1415 1546 1981 2240 2264 2830 3092 3865 3962 4528 5411 5660 6184 7730 7924 9056 9905 10822 11320 12368 15460 15848 18112 19810 21644 22640 24736 27055 30920 31696 39620 43288 45280 49472 54110 61840 63392 79240 86576 90560 108220 123680 126784 158480 173152 216440 218759 247360 316960 346304 432880 437518 633920 865760 875036 1093795 1531313 1731520 1750072 2187590 3062626 3500144 4375180 6125252 7000288 7656565 8750360 12250504 14000576 15313130 17500720 24501008 30626260 35001440 49002016 61252520 70002880 98004032 122505040 245010080 490020160