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84230720 = 2657311213
BaseRepresentation
bin1010000010101…
…00001001000000
312212111100211022
411001110021000
5133030340340
612205205012
72041643420
oct501241100
9185440738
1084230720
1143600872
1224260768
13145b1c82
14b288480
1575dc3b5
hex5054240

84230720 has 112 divisors (see below), whose sum is σ = 236817408. Its totient is φ = 27924480.

The previous prime is 84230717. The next prime is 84230723. The reversal of 84230720 is 2703248.

It is an interprime number because it is at equal distance from previous prime (84230717) and next prime (84230723).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 84230720.

It is not an unprimeable number, because it can be changed into a prime (84230723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68834 + ... + 70046.

Almost surely, 284230720 is an apocalyptic number.

84230720 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 84230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118408704).

84230720 is an abundant number, since it is smaller than the sum of its proper divisors (152586688).

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

84230720 is a wasteful number, since it uses less digits than its factorization.

84230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 84230720 is about 9177.7295667284. The cubic root of 84230720 is about 438.3525167462.

Adding to 84230720 its reverse (2703248), we get a palindrome (86933968).

The spelling of 84230720 in words is "eighty-four million, two hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1213 1240 1736 1984 2170 2240 2426 2480 3472 4340 4852 4960 6065 6944 8491 8680 9704 9920 12130 13888 16982 17360 19408 24260 33964 34720 37603 38816 42455 48520 67928 69440 75206 77632 84910 97040 135856 150412 169820 188015 194080 263221 271712 300824 339640 376030 388160 526442 543424 601648 679280 752060 1052884 1203296 1316105 1358560 1504120 2105768 2406592 2632210 2717120 3008240 4211536 5264420 6016480 8423072 10528840 12032960 16846144 21057680 42115360 84230720