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2990942460 = 22325115925603
BaseRepresentation
bin1011001001000110…
…0010100011111100
321201102222121201200
42302101202203330
522111140124320
61212442135500
7134055406602
oct26221424374
97642877650
102990942460
1112a5344380
126b57b1590
1338886294c
14205329872
151278a5290
hexb24628fc

2990942460 has 144 divisors (see below), whose sum is σ = 10065444480. Its totient is φ = 712759680.

The previous prime is 2990942419. The next prime is 2990942477. The reversal of 2990942460 is 642490992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104019 + ... + 129621.

It is an arithmetic number, because the mean of its divisors is an integer number (69898920).

Almost surely, 22990942460 is an apocalyptic number.

2990942460 is a gapful number since it is divisible by the number (20) 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 2990942460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032722240).

2990942460 is an abundant number, since it is smaller than the sum of its proper divisors (7074502020).

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

2990942460 is a wasteful number, since it uses less digits than its factorization.

2990942460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25688 (or 25683 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2990942460 is about 54689.5095973625. The cubic root of 2990942460 is about 1440.7966367497.

The spelling of 2990942460 in words is "two billion, nine hundred ninety million, nine hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 59 60 66 90 99 110 118 132 165 177 180 198 220 236 295 330 354 396 495 531 590 649 660 708 885 990 1062 1180 1298 1770 1947 1980 2124 2596 2655 3245 3540 3894 5310 5841 6490 7788 9735 10620 11682 12980 19470 23364 25603 29205 38940 51206 58410 76809 102412 116820 128015 153618 230427 256030 281633 307236 384045 460854 512060 563266 768090 844899 921708 1126532 1152135 1408165 1510577 1536180 1689798 2304270 2534697 2816330 3021154 3379596 4224495 4531731 4608540 5069394 5632660 6042308 7552885 8448990 9063462 10138788 12673485 13595193 15105770 16616347 16897980 18126924 22658655 25346970 27190386 30211540 33232694 45317310 49849041 50693940 54380772 66465388 67975965 83081735 90634620 99698082 135951930 149547123 166163470 199396164 249245205 271903860 299094246 332326940 498490410 598188492 747735615 996980820 1495471230 2990942460