Search a number
-
+
2999145820 = 22511195912161
BaseRepresentation
bin1011001011000011…
…0101010101011100
321202000102101121211
42302300311111130
522120240131240
61213334034204
7134215214236
oct26260652534
97660371554
102999145820
1112a9a37710
126b84a8964
1338a4757c8
14206463256
15128475bea
hexb2c3555c

2999145820 has 96 divisors (see below), whose sum is σ = 7355577600. Its totient is φ = 1015603200.

The previous prime is 2999145817. The next prime is 2999145823. The reversal of 2999145820 is 285419992.

2999145820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2999145817) and next prime (2999145823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2999145823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240540 + ... + 252700.

It is an arithmetic number, because the mean of its divisors is an integer number (76620600).

Almost surely, 22999145820 is an apocalyptic number.

2999145820 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 2999145820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677788800).

2999145820 is an abundant number, since it is smaller than the sum of its proper divisors (4356431780).

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

2999145820 is a wasteful number, since it uses less digits than its factorization.

2999145820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12259 (or 12257 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The square root of 2999145820 is about 54764.4576344914. The cubic root of 2999145820 is about 1442.1126750098.

The spelling of 2999145820 in words is "two billion, nine hundred ninety-nine million, one hundred forty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 59 76 95 110 118 190 209 220 236 295 380 418 590 649 836 1045 1121 1180 1298 2090 2242 2596 3245 4180 4484 5605 6490 11210 12161 12331 12980 22420 24322 24662 48644 49324 60805 61655 121610 123310 133771 231059 243220 246620 267542 462118 535084 668855 717499 924236 1155295 1337710 1434998 2310590 2541649 2675420 2869996 3587495 4621180 5083298 7174990 7892489 10166596 12708245 13632481 14349980 15784978 25416490 27264962 31569956 39462445 50832980 54529924 68162405 78924890 136324810 149957291 157849780 272649620 299914582 599829164 749786455 1499572910 2999145820