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1490564320 = 25572316133
BaseRepresentation
bin101100011011000…
…0011010011100000
310211212202111211221
41120312003103200
511023041024240
6403523544424
751636405400
oct13066032340
93755674757
101490564320
116a5426043
1235722b114
131a9a6a52b
14101d68800
158acd3a4a
hex58d834e0

1490564320 has 144 divisors (see below), whose sum is σ = 4229221248. Its totient is φ = 494484480.

The previous prime is 1490564311. The next prime is 1490564353. The reversal of 1490564320 is 234650941.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 239974 + ... + 246106.

It is an arithmetic number, because the mean of its divisors is an integer number (29369592).

Almost surely, 21490564320 is an apocalyptic number.

1490564320 is a gapful number since it is divisible by the number (10) 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 1490564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114610624).

1490564320 is an abundant number, since it is smaller than the sum of its proper divisors (2738656928).

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

1490564320 is a wasteful number, since it uses less digits than its factorization.

1490564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 1490564320 is about 38607.8271856887. The cubic root of 1490564320 is about 1142.3089348146.

The spelling of 1490564320 in words is "one billion, four hundred ninety million, five hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 70 80 98 112 124 140 155 160 196 217 224 245 248 280 310 392 434 490 496 560 620 784 868 980 992 1085 1120 1240 1519 1568 1736 1960 2170 2480 3038 3472 3920 4340 4960 6076 6133 6944 7595 7840 8680 12152 12266 15190 17360 24304 24532 30380 30665 34720 42931 48608 49064 60760 61330 85862 98128 121520 122660 171724 190123 196256 214655 243040 245320 300517 343448 380246 429310 490640 601034 686896 760492 858620 950615 981280 1202068 1330861 1373792 1502585 1520984 1717240 1901230 2404136 2661722 3005170 3041968 3434480 3802460 4808272 5323444 6010340 6083936 6654305 6868960 7604920 9316027 9616544 10646888 12020680 13308610 15209840 18632054 21293776 24041360 26617220 30419680 37264108 42587552 46580135 48082720 53234440 74528216 93160270 106468880 149056432 186320540 212937760 298112864 372641080 745282160 1490564320