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84503040 = 293511003
BaseRepresentation
bin1010000100101…
…10101000000000
312220000012101020
411002112220000
5133113044130
612215105440
72044156356
oct502265000
9186005336
1084503040
1143777426
1224372280
1314678bcb
14b3197d6
157642e10
hex5096a00

84503040 has 80 divisors (see below), whose sum is σ = 270170208. Its totient is φ = 22532096.

The previous prime is 84503033. The next prime is 84503053. The reversal of 84503040 is 4030548.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 84503040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2179 + ... + 13181.

Almost surely, 284503040 is an apocalyptic number.

84503040 is a gapful number since it is divisible by the number (80) 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 84503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135085104).

84503040 is an abundant number, since it is smaller than the sum of its proper divisors (185667168).

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

84503040 is a wasteful number, since it uses less digits than its factorization.

84503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11029 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 84503040 is about 9192.5535081391. The cubic root of 84503040 is about 438.8244100710.

Adding to 84503040 its reverse (4030548), we get a palindrome (88533588).

The spelling of 84503040 in words is "eighty-four million, five hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 11003 22006 33009 44012 55015 66018 88024 110030 132036 165045 176048 220060 264072 330090 352096 440120 528144 660180 704192 880240 1056288 1320360 1408384 1760480 2112576 2640720 2816768 3520960 4225152 5281440 5633536 7041920 8450304 10562880 14083840 16900608 21125760 28167680 42251520 84503040