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2084027904 = 2932764609
BaseRepresentation
bin111110000110111…
…1011111000000000
312101020110120211200
41330031323320000
513232002343104
6542443541200
7102433642050
oct17415737000
95336416750
102084027904
1197a41a012
124a1b2a800
132729b7c0a
1415aacd560
15c2e5eb39
hex7c37be00

2084027904 has 120 divisors (see below), whose sum is σ = 6873987120. Its totient is φ = 595427328.

The previous prime is 2084027819. The next prime is 2084027921. The reversal of 2084027904 is 4097204802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49 + ... + 64560.

It is an arithmetic number, because the mean of its divisors is an integer number (57283226).

Almost surely, 22084027904 is an apocalyptic number.

2084027904 is a gapful number since it is divisible by the number (24) 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 2084027904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436993560).

2084027904 is an abundant number, since it is smaller than the sum of its proper divisors (4789959216).

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

2084027904 is an equidigital number, since it uses as much as digits as its factorization.

2084027904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64640 (or 64621 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2084027904 is about 45651.1544651392. The cubic root of 2084027904 is about 1277.3243064996.

The spelling of 2084027904 in words is "two billion, eighty-four million, twenty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 64609 129218 193827 258436 387654 452263 516872 581481 775308 904526 1033744 1162962 1356789 1550616 1809052 2067488 2325924 2713578 3101232 3618104 4070367 4134976 4651848 5427156 6202464 7236208 8140734 8269952 9303696 10854312 12404928 14472416 16281468 16539904 18607392 21708624 24809856 28944832 32562936 33079808 37214784 43417248 49619712 57889664 65125872 74429568 86834496 99239424 115779328 130251744 148859136 173668992 231558656 260503488 297718272 347337984 521006976 694675968 1042013952 2084027904