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2952069380 = 22513176110949
BaseRepresentation
bin1010111111110101…
…0000000100000100
321121201211122212222
42233331100010010
522021212210010
61204533031512
7133104114161
oct25775200404
97551748788
102952069380
111285403467
126a4785598
133807a2020
142000cb068
15124277355
hexaff50104

2952069380 has 96 divisors (see below), whose sum is σ = 7185477600. Its totient is φ = 1008967680.

The previous prime is 2952069361. The next prime is 2952069403. The reversal of 2952069380 is 839602592.

It can be written as a sum of positive squares in 16 ways, for example, as 2322661636 + 629407744 = 48194^2 + 25088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264146 + ... + 275094.

It is an arithmetic number, because the mean of its divisors is an integer number (74848725).

Almost surely, 22952069380 is an apocalyptic number.

2952069380 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 2952069380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592738800).

2952069380 is an abundant number, since it is smaller than the sum of its proper divisors (4233408220).

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

2952069380 is a wasteful number, since it uses less digits than its factorization.

2952069380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11049 (or 11047 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 2952069380 is about 54332.9493033463. The cubic root of 2952069380 is about 1434.5274182690.

The spelling of 2952069380 in words is "two billion, nine hundred fifty-two million, sixty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 61 65 68 85 122 130 170 221 244 260 305 340 442 610 793 884 1037 1105 1220 1586 2074 2210 3172 3965 4148 4420 5185 7930 10370 10949 13481 15860 20740 21898 26962 43796 53924 54745 67405 109490 134810 142337 186133 218980 269620 284674 372266 569348 667889 711685 744532 930665 1335778 1423370 1861330 2419729 2671556 2846740 3339445 3722660 4839458 6678890 8682557 9678916 11354113 12098645 13357780 17365114 22708226 24197290 34730228 43412785 45416452 48394580 56770565 86825570 113541130 147603469 173651140 227082260 295206938 590413876 738017345 1476034690 2952069380