Search a number
-
+
88605920 = 25513411039
BaseRepresentation
bin1010100100000…
…00010011100000
320011201122110202
411102000103200
5140140342140
612443044332
72124065204
oct522002340
9204648422
1088605920
1146019a37
12258106a8
1315484550
14baa6b04
157ba3915
hex54804e0

88605920 has 96 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 31887360.

The previous prime is 88605919. The next prime is 88605973. The reversal of 88605920 is 2950688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84761 + ... + 85799.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 288605920 is an apocalyptic number.

88605920 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 88605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

88605920 is an abundant number, since it is smaller than the sum of its proper divisors (142548640).

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

88605920 is a wasteful number, since it uses less digits than its factorization.

88605920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 88605920 is about 9413.0717621826. The cubic root of 88605920 is about 445.8145582295.

The spelling of 88605920 in words is "eighty-eight million, six hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 65 80 82 104 130 160 164 205 208 260 328 410 416 520 533 656 820 1039 1040 1066 1312 1640 2078 2080 2132 2665 3280 4156 4264 5195 5330 6560 8312 8528 10390 10660 13507 16624 17056 20780 21320 27014 33248 41560 42599 42640 54028 67535 83120 85198 85280 108056 135070 166240 170396 212995 216112 270140 340792 425990 432224 540280 553787 681584 851980 1080560 1107574 1363168 1703960 2161120 2215148 2768935 3407920 4430296 5537870 6815840 8860592 11075740 17721184 22151480 44302960 88605920