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790887420 = 22325291271193
BaseRepresentation
bin101111001000111…
…111101111111100
32001010012020120200
4233020333233330
53104431344140
6210251243500
725412301141
oct5710775774
92033166520
10790887420
11376487474
121a0a49590
13c7b1222b
14770763c8
1549677030
hex2f23fbfc

790887420 has 144 divisors (see below), whose sum is σ = 2503388160. Its totient is φ = 201858048.

The previous prime is 790887403. The next prime is 790887443. The reversal of 790887420 is 24788097.

It is a super-2 number, since 2×7908874202 = 1251005822228512800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662344 + ... + 663536.

It is an arithmetic number, because the mean of its divisors is an integer number (17384640).

Almost surely, 2790887420 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 790887420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251694080).

790887420 is an abundant number, since it is smaller than the sum of its proper divisors (1712500740).

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

790887420 is a wasteful number, since it uses less digits than its factorization.

790887420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 790887420 is about 28122.7207076414. The cubic root of 790887420 is about 924.7795608138.

The spelling of 790887420 in words is "seven hundred ninety million, eight hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 127 145 174 180 254 261 290 348 381 435 508 522 580 635 762 870 1044 1143 1193 1270 1305 1524 1740 1905 2286 2386 2540 2610 3579 3683 3810 4572 4772 5220 5715 5965 7158 7366 7620 10737 11049 11430 11930 14316 14732 17895 18415 21474 22098 22860 23860 33147 34597 35790 36830 42948 44196 53685 55245 66294 69194 71580 73660 103791 107370 110490 132588 138388 151511 165735 172985 207582 214740 220980 303022 311373 331470 345970 415164 454533 518955 606044 622746 662940 691940 757555 909066 1037910 1245492 1363599 1515110 1556865 1818132 2075820 2272665 2727198 3030220 3113730 4393819 4545330 5454396 6227460 6817995 8787638 9090660 13181457 13635990 17575276 21969095 26362914 27271980 39544371 43938190 52725828 65907285 79088742 87876380 131814570 158177484 197721855 263629140 395443710 790887420