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1491342480 = 2432512971597
BaseRepresentation
bin101100011100100…
…0001010010010000
310211221020001021200
41120321001102100
511023240424410
6403552351200
751646126155
oct13071012220
93757201250
101491342480
116a5907751
12357545500
131a9c80794
141020cc22c
158add93c0
hex58e41490

1491342480 has 120 divisors (see below), whose sum is σ = 5015425272. Its totient is φ = 397135872.

The previous prime is 1491342443. The next prime is 1491342581. The reversal of 1491342480 is 842431941.

It is a happy number.

1491342480 is a `hidden beast` number, since 1 + 49 + 134 + 2 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 376049664 + 1115292816 = 19392^2 + 33396^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 933042 + ... + 934638.

Almost surely, 21491342480 is an apocalyptic number.

1491342480 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 1491342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507712636).

1491342480 is an abundant number, since it is smaller than the sum of its proper divisors (3524082792).

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

1491342480 is a wasteful number, since it uses less digits than its factorization.

1491342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1491342480 is about 38617.9036199533. The cubic root of 1491342480 is about 1142.5076838092.

The spelling of 1491342480 in words is "one billion, four hundred ninety-one million, three hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1297 1597 2594 3194 3891 4791 5188 6388 6485 7782 7985 9582 10376 11673 12776 12970 14373 15564 15970 19164 19455 20752 23346 23955 25552 25940 28746 31128 31940 38328 38910 46692 47910 51880 57492 58365 62256 63880 71865 76656 77820 93384 95820 103760 114984 116730 127760 143730 155640 186768 191640 229968 233460 287460 311280 383280 466920 574920 933840 1149840 2071309 4142618 6213927 8285236 10356545 12427854 16570472 18641781 20713090 24855708 31069635 33140944 37283562 41426180 49711416 62139270 74567124 82852360 93208905 99422832 124278540 149134248 165704720 186417810 248557080 298268496 372835620 497114160 745671240 1491342480