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88133780 = 225717191949
BaseRepresentation
bin1010100000011…
…01000010010100
320010211122211002
411100031002110
5140030240110
612425002432
72120060540
oct520150224
9203748732
1088133780
1145827239
1225623418
131534a687
14b9c2a20
157b0daa5
hex540d094

88133780 has 96 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 26929152.

The previous prime is 88133767. The next prime is 88133783. The reversal of 88133780 is 8733188.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88133783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44246 + ... + 46194.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 288133780 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 88133780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

88133780 is an abundant number, since it is smaller than the sum of its proper divisors (147738220).

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

88133780 is a wasteful number, since it uses less digits than its factorization.

88133780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 88133780 is about 9387.9593096690. The cubic root of 88133780 is about 445.0213010045.

The spelling of 88133780 in words is "eighty-eight million, one hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 68 70 76 85 95 119 133 140 170 190 238 266 323 340 380 476 532 595 646 665 1190 1292 1330 1615 1949 2261 2380 2660 3230 3898 4522 6460 7796 9044 9745 11305 13643 19490 22610 27286 33133 37031 38980 45220 54572 66266 68215 74062 132532 136430 148124 165665 185155 231931 259217 272860 331330 370310 463862 518434 629527 662660 740620 927724 1036868 1159655 1259054 1296085 2319310 2518108 2592170 3147635 4406689 4638620 5184340 6295270 8813378 12590540 17626756 22033445 44066890 88133780