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2074037076 = 223112927
BaseRepresentation
bin111101110011111…
…0100101101010100
312100112200000000000
41323213310231110
513221423141301
6541445451300
7102253011216
oct17347645524
95315600000
102074037076
11974815831
1249a710b30
132708ca597
1415964c5b6
15c2139786
hex7b9f4b54

2074037076 has 72 divisors (see below), whose sum is σ = 5446197120. Its totient is φ = 691109496.

The previous prime is 2074037041. The next prime is 2074037107. The reversal of 2074037076 is 6707304702.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2074037076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707125 + ... + 710051.

Almost surely, 22074037076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074037076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723098560).

2074037076 is an abundant number, since it is smaller than the sum of its proper divisors (3372160044).

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

2074037076 is an frugal number, since it uses more digits than its factorization.

2074037076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 2074037076 is about 45541.5972051925. The cubic root of 2074037076 is about 1275.2798721255.

The spelling of 2074037076 in words is "two billion, seventy-four million, thirty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 2927 4374 5854 6561 8748 8781 11708 13122 17562 19683 26244 26343 35124 39366 52686 59049 78732 79029 105372 118098 158058 177147 236196 237087 316116 354294 474174 708588 711261 948348 1422522 2133783 2845044 4267566 6401349 8535132 12802698 19204047 25605396 38408094 57612141 76816188 115224282 172836423 230448564 345672846 518509269 691345692 1037018538 2074037076