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84860640 = 25325311901
BaseRepresentation
bin1010000111011…
…01111011100000
312220200100220200
411003231323200
5133211020030
612230505200
72050206054
oct503557340
9186610820
1084860640
11439a1067
1224505200
13147728c7
14b3adc64
1576b3d60
hex50edee0

84860640 has 144 divisors (see below), whose sum is σ = 299085696. Its totient is φ = 21888000.

The previous prime is 84860603. The next prime is 84860653. The reversal of 84860640 is 4606848.

84860640 is a `hidden beast` number, since 8 + 4 + 8 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×848606403 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 84860595 and 84860604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43690 + ... + 45590.

It is an arithmetic number, because the mean of its divisors is an integer number (2076984).

Almost surely, 284860640 is an apocalyptic number.

84860640 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 84860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149542848).

84860640 is an abundant number, since it is smaller than the sum of its proper divisors (214225056).

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

84860640 is a wasteful number, since it uses less digits than its factorization.

84860640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 84860640 is about 9211.9834997681. The cubic root of 84860640 is about 439.4425447225.

The spelling of 84860640 in words is "eighty-four million, eight hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 1901 2232 2480 2790 2976 3720 3802 4464 4960 5580 5703 7440 7604 8928 9505 11160 11406 14880 15208 17109 19010 22320 22812 28515 30416 34218 38020 44640 45624 57030 58931 60832 68436 76040 85545 91248 114060 117862 136872 152080 171090 176793 182496 228120 235724 273744 294655 304160 342180 353586 456240 471448 530379 547488 589310 684360 707172 883965 912480 942896 1060758 1178620 1368720 1414344 1767930 1885792 2121516 2357240 2651895 2737440 2828688 3535860 4243032 4714480 5303790 5657376 7071720 8486064 9428960 10607580 14143440 16972128 21215160 28286880 42430320 84860640