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1449003780 = 2232577914557
BaseRepresentation
bin101011001011110…
…0000101100000100
310201222120000111200
41112113200230010
510431421110110
6355441102500
750623220550
oct12627405404
93658500450
101449003780
11683a19a94
12345327a30
131a12785b3
14da62a860
15873246c0
hex565e0b04

1449003780 has 144 divisors (see below), whose sum is σ = 5087147520. Its totient is φ = 326985984.

The previous prime is 1449003769. The next prime is 1449003781. The reversal of 1449003780 is 873009441.

It is a happy number.

It is a super-2 number, since 2×14490037802 = 4199223908908576800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1449003781) 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 47 ways as a sum of consecutive naturals, for example, 92262 + ... + 106818.

Almost surely, 21449003780 is an apocalyptic number.

1449003780 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 1449003780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543573760).

1449003780 is an abundant number, since it is smaller than the sum of its proper divisors (3638143740).

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

1449003780 is a wasteful number, since it uses less digits than its factorization.

1449003780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658 (or 14653 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1449003780 is about 38065.7822722718. The cubic root of 1449003780 is about 1131.5919244390.

The spelling of 1449003780 in words is "one billion, four hundred forty-nine million, three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 79 84 90 105 126 140 158 180 210 237 252 315 316 395 420 474 553 630 711 790 948 1106 1185 1260 1422 1580 1659 2212 2370 2765 2844 3318 3555 4740 4977 5530 6636 7110 8295 9954 11060 14220 14557 16590 19908 24885 29114 33180 43671 49770 58228 72785 87342 99540 101899 131013 145570 174684 203798 218355 262026 291140 305697 407596 436710 509495 524052 611394 655065 873420 917091 1018990 1150003 1222788 1310130 1528485 1834182 2037980 2300006 2620260 3056970 3450009 3668364 4585455 4600012 5750015 6113940 6900018 8050021 9170910 10350027 11500030 13800036 16100042 17250045 18341820 20700054 23000060 24150063 32200084 34500090 40250105 41400108 48300126 51750135 69000180 72450189 80500210 96600252 103500270 120750315 144900378 161000420 207000540 241500630 289800756 362250945 483001260 724501890 1449003780