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2985996480 = 26354766179
BaseRepresentation
bin1011000111111010…
…1011000011000000
321201002200100010020
42301332223003000
522103403341410
61212144133440
7133665360045
oct26176530300
97632610106
102985996480
1112a2576395
126b4007280
1338782062c
142047dd1cc
15127229a70
hexb1fab0c0

2985996480 has 112 divisors (see below), whose sum is σ = 9682398720. Its totient is φ = 779312128.

The previous prime is 2985996473. The next prime is 2985996487. The reversal of 2985996480 is 846995892.

It is an interprime number because it is at equal distance from previous prime (2985996473) and next prime (2985996487).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2985996487) 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, 12031 + ... + 78209.

Almost surely, 22985996480 is an apocalyptic number.

2985996480 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 2985996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841199360).

2985996480 is an abundant number, since it is smaller than the sum of its proper divisors (6696402240).

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

2985996480 is a wasteful number, since it uses less digits than its factorization.

2985996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66246 (or 66236 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The square root of 2985996480 is about 54644.2721609502. The cubic root of 2985996480 is about 1440.0020061700.

The spelling of 2985996480 in words is "two billion, nine hundred eighty-five million, nine hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2820 3008 3760 4512 5640 7520 9024 11280 15040 22560 45120 66179 132358 198537 264716 330895 397074 529432 661790 794148 992685 1058864 1323580 1588296 1985370 2117728 2647160 3110413 3176592 3970740 4235456 5294320 6220826 6353184 7941480 9331239 10588640 12441652 12706368 15552065 15882960 18662478 21177280 24883304 31104130 31765920 37324956 46656195 49766608 62208260 63531840 74649912 93312390 99533216 124416520 149299824 186624780 199066432 248833040 298599648 373249560 497666080 597199296 746499120 995332160 1492998240 2985996480