Search a number
-
+
2994759040 = 27571351421
BaseRepresentation
bin1011001010000000…
…0110010110000000
321201201011112002111
42302200012112000
522113124242130
61213100025104
7134133013630
oct26240062600
97651145074
102994759040
1112a7510879
126b6b32194
1338959ab90
14205a406c0
15127dab02a
hexb2806580

2994759040 has 128 divisors (see below), whose sum is σ = 8811673920. Its totient is φ = 947773440.

The previous prime is 2994759029. The next prime is 2994759041. The reversal of 2994759040 is 409574992.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2994759041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32530 + ... + 83950.

Almost surely, 22994759040 is an apocalyptic number.

2994759040 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 2994759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405836960).

2994759040 is an abundant number, since it is smaller than the sum of its proper divisors (5816914880).

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

2994759040 is a wasteful number, since it uses less digits than its factorization.

2994759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51460 (or 51448 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The square root of 2994759040 is about 54724.3916366368. The cubic root of 2994759040 is about 1441.4092171656.

The spelling of 2994759040 in words is "two billion, nine hundred ninety-four million, seven hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2912 3640 4160 4480 5824 7280 8320 11648 14560 29120 51421 58240 102842 205684 257105 359947 411368 514210 668473 719894 822736 1028420 1336946 1439788 1645472 1799735 2056840 2673892 2879576 3290944 3342365 3599470 4113680 4679311 5347784 5759152 6581888 6684730 7198940 8227360 9358622 10695568 11518304 13369460 14397880 16454720 18717244 21391136 23036608 23396555 26738920 28795760 32909440 37434488 42782272 46073216 46793110 53477840 57591520 74868976 85564544 93586220 106955680 115183040 149737952 187172440 213911360 230366080 299475904 374344880 427822720 598951808 748689760 1497379520 2994759040