Search a number
-
+
97460660 = 2251121723103
BaseRepresentation
bin1011100111100…
…10000110110100
320210101111220002
411303302012310
5144422220120
613400530432
72262254603
oct563620664
9223344802
1097460660
1150017700
1228780a18
1317264a3b
14cd2da3a
158852375
hex5cf21b4

97460660 has 144 divisors (see below), whose sum is σ = 250967808. Its totient is φ = 31595520.

The previous prime is 97460659. The next prime is 97460663. The reversal of 97460660 is 6606479.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97460663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 946169 + ... + 946271.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 297460660 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 97460660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

97460660 is an abundant number, since it is smaller than the sum of its proper divisors (153507148).

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

97460660 is a wasteful number, since it uses less digits than its factorization.

97460660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 97460660 is about 9872.2165697476. The cubic root of 97460660 is about 460.1962930367.

The spelling of 97460660 in words is "ninety-seven million, four hundred sixty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 103 110 115 121 170 187 206 220 230 242 253 340 374 391 412 460 484 506 515 605 748 782 935 1012 1030 1133 1210 1265 1564 1751 1870 1955 2057 2060 2266 2369 2420 2530 2783 3502 3740 3910 4114 4301 4532 4738 5060 5566 5665 7004 7820 8228 8602 8755 9476 10285 11132 11330 11845 12463 13915 17204 17510 19261 20570 21505 22660 23690 24926 26059 27830 35020 38522 40273 41140 43010 47311 47380 49852 52118 55660 62315 77044 80546 86020 94622 96305 104236 124630 130295 161092 189244 192610 201365 211871 236555 249260 260590 286649 385220 402730 423742 443003 473110 521180 573298 805460 847484 886006 946220 1059355 1146596 1433245 1772012 2118710 2215015 2866490 4237420 4430030 4873033 5732980 8860060 9746066 19492132 24365165 48730330 97460660