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87920904 = 233192383101
BaseRepresentation
bin1010011110110…
…01000100001000
320010102211210210
411033121010020
5140001432104
612420241120
72115213111
oct517310410
9203384723
1087920904
11456a1305
12255401a0
13152a4806
14b969208
157aba989
hex53d9108

87920904 has 128 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 25977600.

The previous prime is 87920887. The next prime is 87920909. The reversal of 87920904 is 40902978.

It is not an unprimeable number, because it can be changed into a prime (87920909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870454 + ... + 870554.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 287920904 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 87920904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

87920904 is an abundant number, since it is smaller than the sum of its proper divisors (158837496).

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

87920904 is a wasteful number, since it uses less digits than its factorization.

87920904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 87920904 is about 9376.6147409393. The cubic root of 87920904 is about 444.6627145846.

The spelling of 87920904 in words is "eighty-seven million, nine hundred twenty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 83 92 101 114 138 152 166 184 202 228 249 276 303 332 404 437 456 498 552 606 664 808 874 996 1212 1311 1577 1748 1909 1919 1992 2323 2424 2622 3154 3496 3818 3838 4646 4731 5244 5727 5757 6308 6969 7636 7676 8383 9292 9462 10488 11454 11514 12616 13938 15272 15352 16766 18584 18924 22908 23028 25149 27876 33532 36271 37848 44137 45816 46056 50298 55752 67064 72542 88274 100596 108813 132411 145084 159277 176548 192809 201192 217626 264822 290168 318554 353096 385618 435252 477831 529644 578427 637108 771236 870504 955662 1059288 1156854 1274216 1542472 1911324 2313708 3663371 3822648 4627416 7326742 10990113 14653484 21980226 29306968 43960452 87920904