Search a number
-
+
97239960 = 23335179503
BaseRepresentation
bin1011100101111…
…00001110011000
320202222022011000
411302330032120
5144343134320
613352105000
72260345266
oct562741630
9222868130
1097239960
114a986904
1228695160
13171b844c
14ccb3436
15880bc90
hex5cbc398

97239960 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 25734528.

The previous prime is 97239943. The next prime is 97239971. The reversal of 97239960 is 6993279.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193069 + ... + 193571.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 297239960 is an apocalyptic number.

97239960 is a gapful number since it is divisible by the number (90) 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 97239960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

97239960 is an abundant number, since it is smaller than the sum of its proper divisors (229352040).

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

97239960 is a wasteful number, since it uses less digits than its factorization.

97239960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 97239960 is about 9861.0324003118. The cubic root of 97239960 is about 459.8486584682.

It can be divided in two parts, 9723 and 9960, that added together give a 9-th power (19683 = 39).

The spelling of 97239960 in words is "ninety-seven million, two hundred thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 179 180 216 270 358 360 503 537 540 716 895 1006 1074 1080 1432 1509 1611 1790 2012 2148 2515 2685 3018 3222 3580 4024 4296 4527 4833 5030 5370 6036 6444 7160 7545 8055 9054 9666 10060 10740 12072 12888 13581 15090 16110 18108 19332 20120 21480 22635 24165 27162 30180 32220 36216 38664 45270 48330 54324 60360 64440 67905 90037 90540 96660 108648 135810 180074 181080 193320 270111 271620 360148 450185 540222 543240 720296 810333 900370 1080444 1350555 1620666 1800740 2160888 2430999 2701110 3241332 3601480 4051665 4861998 5402220 6482664 8103330 9723996 10804440 12154995 16206660 19447992 24309990 32413320 48619980 97239960