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88861140 = 22325618093
BaseRepresentation
bin1010100101111…
…10100111010100
320012012121120100
411102332213110
5140222024030
612452334100
72126210244
oct522764724
9205177510
1088861140
1146183765
1225914330
1315543774
14bb31b24
157c04360
hex54be9d4

88861140 has 72 divisors (see below), whose sum is σ = 273998088. Its totient is φ = 23304960.

The previous prime is 88861127. The next prime is 88861169. The reversal of 88861140 is 4116888.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 88849476 = 108^2 + 9426^2 .

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 = 88861095 and 88861104.

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, 6934 + ... + 15026.

It is an arithmetic number, because the mean of its divisors is an integer number (3805529).

Almost surely, 288861140 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 88861140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136999044).

88861140 is an abundant number, since it is smaller than the sum of its proper divisors (185136948).

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

88861140 is a wasteful number, since it uses less digits than its factorization.

88861140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8169 (or 8164 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 88861140 is about 9426.6186938902. The cubic root of 88861140 is about 446.2421885034.

The spelling of 88861140 in words is "eighty-eight million, eight hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 8093 10980 16186 24279 32372 40465 48558 72837 80930 97116 121395 145674 161860 242790 291348 364185 485580 493673 728370 987346 1456740 1481019 1974692 2468365 2962038 4443057 4936730 5924076 7405095 8886114 9873460 14810190 17772228 22215285 29620380 44430570 88861140