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87994080 = 2533520369
BaseRepresentation
bin1010011111010…
…10111011100000
320010120120012000
411033222323200
5140011302310
612422004000
72115636336
oct517527340
9203516160
1087994080
1145741289
1225576600
13152cbc05
14b987b56
157ad24c0
hex53eaee0

87994080 has 96 divisors (see below), whose sum is σ = 307994400. Its totient is φ = 23463936.

The previous prime is 87994079. The next prime is 87994087. The reversal of 87994080 is 8049978.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87994087) 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, 5865 + ... + 14504.

It is an arithmetic number, because the mean of its divisors is an integer number (3208275).

Almost surely, 287994080 is an apocalyptic number.

87994080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87994080 is an abundant number, since it is smaller than the sum of its proper divisors (220000320).

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

87994080 is a wasteful number, since it uses less digits than its factorization.

87994080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20393 (or 20379 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 87994080 is about 9380.5159772797. The cubic root of 87994080 is about 444.7860436765.

The spelling of 87994080 in words is "eighty-seven million, nine hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 20369 40738 61107 81476 101845 122214 162952 183321 203690 244428 305535 325904 366642 407380 488856 549963 611070 651808 733284 814760 916605 977712 1099926 1222140 1466568 1629520 1833210 1955424 2199852 2444280 2749815 2933136 3259040 3666420 4399704 4888560 5499630 5866272 7332840 8799408 9777120 10999260 14665680 17598816 21998520 29331360 43997040 87994080