Search a number
-
+
88738020 = 223257210061
BaseRepresentation
bin1010100101000…
…00100011100100
320011222100200100
411102200203210
5140204104040
612445544100
72125155300
oct522404344
9204870610
1088738020
11460aa208
1225875030
13154cc707
14badcd00
157bccb30
hex54a08e4

88738020 has 108 divisors (see below), whose sum is σ = 313149564. Its totient is φ = 20280960.

The previous prime is 88738003. The next prime is 88738033. The reversal of 88738020 is 2083788.

It can be written as a sum of positive squares in 2 ways, for example, as 41293476 + 47444544 = 6426^2 + 6888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3790 + ... + 13850.

It is an arithmetic number, because the mean of its divisors is an integer number (2899533).

Almost surely, 288738020 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 88738020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156574782).

88738020 is an abundant number, since it is smaller than the sum of its proper divisors (224411544).

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

88738020 is a wasteful number, since it uses less digits than its factorization.

88738020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10090 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 88738020 is about 9420.0859868687. The cubic root of 88738020 is about 446.0359988907.

The spelling of 88738020 in words is "eighty-eight million, seven hundred thirty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 10061 20122 30183 40244 50305 60366 70427 90549 100610 120732 140854 150915 181098 201220 211281 281708 301830 352135 362196 422562 452745 492989 603660 633843 704270 845124 905490 985978 1056405 1267686 1408540 1478967 1810980 1971956 2112810 2464945 2535372 2957934 3169215 4225620 4436901 4929890 5915868 6338430 7394835 8873802 9859780 12676860 14789670 17747604 22184505 29579340 44369010 88738020