Search a number
-
+
97931340 = 223251341851
BaseRepresentation
bin1011101011001…
…01000001001100
320211021102112200
411311211001030
5200032300330
613415001500
72266255053
oct565450114
9224242480
1097931340
11503092a1
1228969290
131739b050
14d01339a
1588e6a60
hex5d6504c

97931340 has 72 divisors (see below), whose sum is σ = 319916688. Its totient is φ = 24105600.

The previous prime is 97931311. The next prime is 97931357. The reversal of 97931340 is 4313979.

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

It is a junction number, because it is equal to n+sod(n) for n = 97931295 and 97931304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18586 + ... + 23265.

Almost surely, 297931340 is an apocalyptic number.

97931340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97931340 is an abundant number, since it is smaller than the sum of its proper divisors (221985348).

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

97931340 is a wasteful number, since it uses less digits than its factorization.

97931340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41879 (or 41874 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 97931340 is about 9896.0264753082. The cubic root of 97931340 is about 460.9359331135.

The spelling of 97931340 in words is "ninety-seven million, nine hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 41851 83702 125553 167404 209255 251106 376659 418510 502212 544063 627765 753318 837020 1088126 1255530 1506636 1632189 1883295 2176252 2511060 2720315 3264378 3766590 4896567 5440630 6528756 7533180 8160945 9793134 10881260 16321890 19586268 24482835 32643780 48965670 97931340