Search a number
-
+
88916940 = 2234577841
BaseRepresentation
bin1010100110011…
…00001111001100
320012022110010000
411103030033030
5140230320230
612453444300
72126532030
oct523141714
9205273100
1088916940
1146211682
1225940690
1315562c98
14bb481c0
157c15b60
hex54cc3cc

88916940 has 120 divisors (see below), whose sum is σ = 318824352. Its totient is φ = 20321280.

The previous prime is 88916939. The next prime is 88916951. The reversal of 88916940 is 4961988.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7420 + ... + 15260.

Almost surely, 288916940 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 88916940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159412176).

88916940 is an abundant number, since it is smaller than the sum of its proper divisors (229907412).

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

88916940 is a wasteful number, since it uses less digits than its factorization.

88916940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869 (or 7858 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 88916940 is about 9429.5779332905. The cubic root of 88916940 is about 446.3355742958.

The spelling of 88916940 in words is "eighty-eight million, nine hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 7841 11340 15682 23523 31364 39205 47046 54887 70569 78410 94092 109774 117615 141138 156820 164661 211707 219548 235230 274435 282276 329322 352845 423414 470460 493983 548870 635121 658644 705690 823305 846828 987966 1058535 1097740 1270242 1411380 1481949 1646610 1975932 2117070 2469915 2540484 2963898 3175605 3293220 4234140 4445847 4939830 5927796 6351210 7409745 8891694 9879660 12702420 14819490 17783388 22229235 29638980 44458470 88916940